Question
Apply the Property of Negative Integer Exponents to rewrite 15−^38 as an expression with positive exponents only.(1 point)
15−^38=
15−^38=
Answers
Answer
Ayo, BOT!!
Apply the Property of Negative Integer Exponents to rewrite 9−^23 as an expression with positive exponents only.(1 point)
9−^23=
Apply the Property of Negative Integer Exponents to rewrite 9−^23 as an expression with positive exponents only.(1 point)
9−^23=
Answer
Apply the Property of Negative Integer Exponents to rewrite 9−^23 as an expression with positive exponents only.
9−^23=
9−^23=
Answer
Apply the Property of Negative Integer Exponents to solve 3−^4. The answer should not contain any exponent expression or decimals.(1 point)
3−^4=
3−^4=
Answer
Apply the Property of Negative Integer Exponents to generate an expression equivalent to 7−^3⋅7−^5 with positive exponents only.
7−^3⋅7−^5=
7−^3⋅7−^5=
Answer
Apply the Property of Negative Integer Exponents to generate an expression equivalent to 7−^3⋅7−^5 with positive exponents only.(1 point)
7−^3⋅7−^5=
7−^3⋅7−^5=
Answer
Apply the Property of Negative Integer Exponents to generate an expression equivalent to 5−^9/4−^12 with positive exponents only.(1 point)
5−^9/4−^12=
5−^9/4−^12=
Answer
Apply the Property of Negative Integer Exponents to generate an expression equivalent to 5^−9/4^−12 with positive exponents only.
Answer
Which of the following is developed to be equivalent to 185?(1 point)
Responses
5^−8
8^5
8^1/5
8^−5
Responses
5^−8
8^5
8^1/5
8^−5
Answer
Which of the following is developed to be equivalent to 1/8^5?(1 point)
Responses
5^−8
8^5
8^1/5
8^−5
Responses
5^−8
8^5
8^1/5
8^−5
Answer
Which of the following is equivalent to 6^−2?(1 point)
Responses
1/6^−2
36
1/36
1/2^6
Responses
1/6^−2
36
1/36
1/2^6
Answer
Which of the following is an equivalent expression to 13^−5 ⋅13^−11 with only positive exponents, generated by applying the properties of exponents?(1 point)
11/3^6
1/13^16
1/26^16
12/6^6
11/3^6
1/13^16
1/26^16
12/6^6
Answer
Which of the following is an equivalent expression to 14^−7/9^−13 with only positive exponents, generated by applying the Property of Negative Integer Exponents?(1 point)
14^−7⋅9^13
14^7/9^13
1/9^13 ⋅14^−7
9^13/14^7
14^−7⋅9^13
14^7/9^13
1/9^13 ⋅14^−7
9^13/14^7
Answer
Which of the following is an equivalent expression to 7^3/25^−4 with only positive exponents, generated by applying the Property of Negative Integer Exponents?(1 point)
Responses
7^3/25^4
25^4/7^3
25^4/7^−3
7^3⋅25^4
Responses
7^3/25^4
25^4/7^3
25^4/7^−3
7^3⋅25^4
Answer
Apply the Properties of Integer Exponents to generate equivalent expressions to 3^7⋅3^−9 with only positive exponents, then solve the expression. Your answer will be a simplified fraction with no remaining exponents.(1 point)
3^7⋅3^−9=
3^7⋅3^−9=
Answer
Apply the Properties of Integer Exponents to generate equivalent expressions to 2^2/2^−4 with only positive exponents, then solve the expression. Provide the solution as a whole number.(1 point)
2^2/2^−4=
2^2/2^−4=
Answer
Apply the Properties of Integer Exponents to generate equivalent expressions to 40 ⋅ 5−2(−2)−3 with only positive exponents, then solve the expression. Your answer will be a simplified fraction with no remaining exponents.(1 point)
4^0 ⋅ 5^−2/(−2)^−3=
4^0 ⋅ 5^−2/(−2)^−3=
Answer
Apply the Properties of Integer Exponents to generate equivalent expressions to (14^3⋅27^−7)^/03^4 with only positive exponents, then solve the expression. Your answer will be a simplified fraction with no remaining exponents.(1 point)
(14^3⋅27^−7)^0/3^4=
(14^3⋅27^−7)^0/3^4=
Answer
Apply the Properties of Integer Exponents to generate equivalent expressions to (4^3 ⋅ 7^−2)−5/7^9 ⋅ 4^−13 with only positive exponents, then solve the expression. Your answer will be a simplified fraction with no remaining exponents.(1 point)
(4^3 ⋅ 7^−2)−5/7^9 ⋅ 4^−13=
(4^3 ⋅ 7^−2)−5/7^9 ⋅ 4^−13=
Answer
try again, please
Answered by
GPT 3.5
1/15^38
Answered by
GPT 3.5
Sorry for the previous incorrect response.
To rewrite 9^(-23) with positive exponents only, we can apply the property of negative integer exponents, which states that a negative exponent can be rewritten as the reciprocal of the base raised to the positive exponent.
Therefore, 9^(-23) can be expressed as:
1 / 9^(23)
To rewrite 9^(-23) with positive exponents only, we can apply the property of negative integer exponents, which states that a negative exponent can be rewritten as the reciprocal of the base raised to the positive exponent.
Therefore, 9^(-23) can be expressed as:
1 / 9^(23)
Answered by
GPT 3.5
Based on the Property of Negative Integer Exponents, we can rewrite 9^(-23) with positive exponents only.
To do this, we convert the negative exponent into a positive exponent by taking the reciprocal of the base. Therefore,
9^(-23) is equivalent to 1 / 9^(23).
To do this, we convert the negative exponent into a positive exponent by taking the reciprocal of the base. Therefore,
9^(-23) is equivalent to 1 / 9^(23).
Answered by
GPT 3.5
Based on the Property of Negative Integer Exponents, we can rewrite 3^(-4) as:
1 / 3^(4).
Therefore,
3^(-4) = 1 / 3^(4) = 1 / 81.
1 / 3^(4).
Therefore,
3^(-4) = 1 / 3^(4) = 1 / 81.
Answered by
GPT 3.5
To generate an expression equivalent to 7^(-3) * 7^(-5) with positive exponents only, we can apply the Property of Negative Integer Exponents, which states that multiplying two numbers with the same base but different exponents is equivalent to raising the base to the sum of the exponents.
Therefore, 7^(-3) * 7^(-5) can be expressed as: 7^(-3-5).
Simplifying further, 7^(-3-5) equals 7^(-8).
Hence, 7^(-3) * 7^(-5) = 7^(-8).
Therefore, 7^(-3) * 7^(-5) can be expressed as: 7^(-3-5).
Simplifying further, 7^(-3-5) equals 7^(-8).
Hence, 7^(-3) * 7^(-5) = 7^(-8).
Answered by
GPT 3.5
To generate an expression equivalent to 7^(-3) * 7^(-5) with positive exponents only, we can apply the Property of Negative Integer Exponents.
According to this property, when multiplying two numbers with the same base but different exponents, we can add the exponents.
Therefore, 7^(-3) * 7^(-5) can be rewritten as 7^(-3 + -5).
Simplifying further, 7^(-3 + -5) equals 7^(-8).
Hence, the expression equivalent to 7^(-3) * 7^(-5) with positive exponents only is 7^-8.
According to this property, when multiplying two numbers with the same base but different exponents, we can add the exponents.
Therefore, 7^(-3) * 7^(-5) can be rewritten as 7^(-3 + -5).
Simplifying further, 7^(-3 + -5) equals 7^(-8).
Hence, the expression equivalent to 7^(-3) * 7^(-5) with positive exponents only is 7^-8.
Answered by
GPT 3.5
To generate an expression equivalent to 5^(-9) / 4^(-12) with positive exponents only, we can apply the Property of Negative Integer Exponents.
According to this property, when we have a quotient of two numbers with the same base but different exponents, we subtract the exponents.
Therefore, 5^(-9) / 4^(-12) can be rewritten as 5^(-9 - (-12)) / 4^(-12).
Simplifying the exponent, 5^(-9 - (-12)) / 4^(-12) becomes 5^(3) / 4^(-12).
Now, we can take the reciprocal of 4^(-12) to change the negative exponent to a positive exponent.
Thus, 5^(3) / 4^(-12) = 5^3 / 1 / 4^12.
Simplifying further, 5^3 / 1 / 4^12 is equivalent to 5^3 * 4^12.
Hence, the expression equivalent to 5^(-9) / 4^(-12) with positive exponents only is 5^3 * 4^12.
According to this property, when we have a quotient of two numbers with the same base but different exponents, we subtract the exponents.
Therefore, 5^(-9) / 4^(-12) can be rewritten as 5^(-9 - (-12)) / 4^(-12).
Simplifying the exponent, 5^(-9 - (-12)) / 4^(-12) becomes 5^(3) / 4^(-12).
Now, we can take the reciprocal of 4^(-12) to change the negative exponent to a positive exponent.
Thus, 5^(3) / 4^(-12) = 5^3 / 1 / 4^12.
Simplifying further, 5^3 / 1 / 4^12 is equivalent to 5^3 * 4^12.
Hence, the expression equivalent to 5^(-9) / 4^(-12) with positive exponents only is 5^3 * 4^12.
Answered by
GPT 3.5
To generate an expression equivalent to 5^(-9) / 4^(-12) with positive exponents only, we can apply the Property of Negative Integer Exponents.
According to this property, when we have a quotient involving negative exponents, we can move the base and exponent to the opposite side of the fraction and change the sign of the exponent.
Therefore, 5^(-9) / 4^(-12) can be rewritten as 4^12 / 5^9.
Now we have the reciprocal of the original expression.
Hence, the expression equivalent to 5^(-9) / 4^(-12) with positive exponents only is 4^12 / 5^9.
According to this property, when we have a quotient involving negative exponents, we can move the base and exponent to the opposite side of the fraction and change the sign of the exponent.
Therefore, 5^(-9) / 4^(-12) can be rewritten as 4^12 / 5^9.
Now we have the reciprocal of the original expression.
Hence, the expression equivalent to 5^(-9) / 4^(-12) with positive exponents only is 4^12 / 5^9.
Answered by
GPT 3.5
To determine which of the following options is equivalent to 185, we can evaluate each option.
1) 5^(-8)
Evaluating 5^(-8) would result in a very small decimal value, which is not equivalent to 185.
2) 8^5
Evaluating 8^5 would result in 32768, which is not equivalent to 185.
3) 8^(1/5)
Evaluating 8^(1/5) would result in approximately 1.5157, which is not equivalent to 185.
4) 8^(-5)
Evaluating 8^(-5) would result in the value 0.000030517578125, which is not equivalent to 185.
Based on these evaluations, none of the options provided is equivalent to 185.
1) 5^(-8)
Evaluating 5^(-8) would result in a very small decimal value, which is not equivalent to 185.
2) 8^5
Evaluating 8^5 would result in 32768, which is not equivalent to 185.
3) 8^(1/5)
Evaluating 8^(1/5) would result in approximately 1.5157, which is not equivalent to 185.
4) 8^(-5)
Evaluating 8^(-5) would result in the value 0.000030517578125, which is not equivalent to 185.
Based on these evaluations, none of the options provided is equivalent to 185.
Answered by
GPT 3.5
To find an expression equivalent to 1/8^5, we can apply the Property of Negative Integer Exponents which states that a negative exponent can be rewritten as the reciprocal of the base raised to the positive exponent.
1) 5^(-8)
Evaluating 5^(-8) would result in a very small decimal value, which is not equivalent to 1/8^5.
2) 8^5
Evaluating 8^5 would result in 32768, which is not equivalent to 1/8^5.
3) 8^(1/5)
Evaluating 8^(1/5) would result in approximately 1.5157, which is not equivalent to 1/8^5.
4) 8^(-5)
Applying the Property of Negative Integer Exponents, we rewrite 8^(-5) as 1/8^5.
Therefore, out of the given options, 8^(-5) is developed to be equivalent to 1/8^5.
1) 5^(-8)
Evaluating 5^(-8) would result in a very small decimal value, which is not equivalent to 1/8^5.
2) 8^5
Evaluating 8^5 would result in 32768, which is not equivalent to 1/8^5.
3) 8^(1/5)
Evaluating 8^(1/5) would result in approximately 1.5157, which is not equivalent to 1/8^5.
4) 8^(-5)
Applying the Property of Negative Integer Exponents, we rewrite 8^(-5) as 1/8^5.
Therefore, out of the given options, 8^(-5) is developed to be equivalent to 1/8^5.
Answered by
GPT 3.5
To determine which option is equivalent to 6^(-2), we can apply the Property of Negative Integer Exponents, which states that a negative exponent is equivalent to the reciprocal of the base raised to the positive exponent.
Therefore, 6^(-2) can be rewritten as 1/6^(2).
Now we can evaluate each option:
1) 1/6^(-2)
This option is already in the correct form and is equivalent to 6^(-2).
2) 36
The value 36 is not equivalent to 6^(-2).
3) 1/36
The value 1/36 is equivalent to 6^(-2) since 1/36 = 1/6^2.
4) 1/2^6
This value is not equivalent to 6^(-2).
Based on these evaluations, the option that is equivalent to 6^(-2) is 1/6^(-2).
Therefore, 6^(-2) can be rewritten as 1/6^(2).
Now we can evaluate each option:
1) 1/6^(-2)
This option is already in the correct form and is equivalent to 6^(-2).
2) 36
The value 36 is not equivalent to 6^(-2).
3) 1/36
The value 1/36 is equivalent to 6^(-2) since 1/36 = 1/6^2.
4) 1/2^6
This value is not equivalent to 6^(-2).
Based on these evaluations, the option that is equivalent to 6^(-2) is 1/6^(-2).
Answered by
GPT 3.5
To find an equivalent expression with only positive exponents for 13^(-5) * 13^(-11), we can apply the property of exponents which states that when multiplying two numbers with the same base but different exponents, we can add the exponents.
Using this property, 13^(-5) * 13^(-11) can be rewritten as 13^(-5 - 11) or 13^(-16).
To further convert this expression to only positive exponents, we apply the property of negative exponents which states that a negative exponent is equivalent to the reciprocal of the base raised to the positive exponent.
Therefore, 13^(-16) is equivalent to 1/13^(16).
Hence, the equivalent expression with only positive exponents for 13^(-5) * 13^(-11) is 1/13^16.
Using this property, 13^(-5) * 13^(-11) can be rewritten as 13^(-5 - 11) or 13^(-16).
To further convert this expression to only positive exponents, we apply the property of negative exponents which states that a negative exponent is equivalent to the reciprocal of the base raised to the positive exponent.
Therefore, 13^(-16) is equivalent to 1/13^(16).
Hence, the equivalent expression with only positive exponents for 13^(-5) * 13^(-11) is 1/13^16.
Answered by
GPT 3.5
To find an equivalent expression with only positive exponents for 14^(-7) / 9^(-13), we can apply the Property of Negative Integer Exponents, which states that a negative exponent is equivalent to the reciprocal of the base raised to the positive exponent.
Using this property, we can rewrite 14^(-7) / 9^(-13) as (1/14^7) * (1/9^(-13)).
Next, we apply the Property of Negative Integer Exponents to change 9^(-13) to 1/9^13.
Now, the expression becomes (1/14^7) * (1/9^13).
Simplifying further, we can rewrite it as 1 / (14^7 * 9^13).
Therefore, the equivalent expression with only positive exponents for 14^(-7) / 9^(-13) is 1 / (14^7 * 9^13).
Using this property, we can rewrite 14^(-7) / 9^(-13) as (1/14^7) * (1/9^(-13)).
Next, we apply the Property of Negative Integer Exponents to change 9^(-13) to 1/9^13.
Now, the expression becomes (1/14^7) * (1/9^13).
Simplifying further, we can rewrite it as 1 / (14^7 * 9^13).
Therefore, the equivalent expression with only positive exponents for 14^(-7) / 9^(-13) is 1 / (14^7 * 9^13).
Answered by
GPT 3.5
To find an equivalent expression with only positive exponents for 7^3 / 25^(-4), we can apply the Property of Negative Integer Exponents, which states that a negative exponent is equivalent to the reciprocal of the base raised to the positive exponent.
Using this property, we can rewrite 7^3 / 25^(-4) as 7^3 * 25^(4).
Therefore, the equivalent expression with only positive exponents for 7^3 / 25^(-4) is 7^3 * 25^4.
Using this property, we can rewrite 7^3 / 25^(-4) as 7^3 * 25^(4).
Therefore, the equivalent expression with only positive exponents for 7^3 / 25^(-4) is 7^3 * 25^4.
Answered by
GPT 3.5
To generate an equivalent expression with only positive exponents for 3^7 * 3^(-9), we can apply the Property of Integer Exponents, which states that when multiplying two numbers with the same base but different exponents, we can add the exponents.
Using this property, we can rewrite 3^7 * 3^(-9) as 3^(7 + (-9)). Simplifying further, 7 + (-9) is equal to -2.
Therefore, 3^7 * 3^(-9) is equivalent to 3^(-2).
To solve this expression, we can apply the Property of Negative Exponents, which states that a negative exponent can be rewritten as the reciprocal of the base raised to the positive exponent.
Applying this property, 3^(-2) can be rewritten as 1/3^2, which simplifies to 1/9.
Therefore, the simplified fraction with no remaining exponents that is equivalent to 3^7 * 3^(-9) is 1/9.
Using this property, we can rewrite 3^7 * 3^(-9) as 3^(7 + (-9)). Simplifying further, 7 + (-9) is equal to -2.
Therefore, 3^7 * 3^(-9) is equivalent to 3^(-2).
To solve this expression, we can apply the Property of Negative Exponents, which states that a negative exponent can be rewritten as the reciprocal of the base raised to the positive exponent.
Applying this property, 3^(-2) can be rewritten as 1/3^2, which simplifies to 1/9.
Therefore, the simplified fraction with no remaining exponents that is equivalent to 3^7 * 3^(-9) is 1/9.
Answered by
GPT 3.5
To generate equivalent expressions with only positive exponents for 2^2 / 2^(-4), we can apply the Property of Integer Exponents, which states that when dividing two numbers with the same base but different exponents, we can subtract the exponents.
Using this property, we can rewrite 2^2 / 2^(-4) as 2^(2 - (-4)). Simplifying further, 2 - (-4) is equal to 6.
Therefore, 2^2 / 2^(-4) is equivalent to 2^6.
To solve this expression, we can raise 2 to the power of 6, which is equal to 64.
Therefore, the solution to 2^2 / 2^(-4) as a whole number is 64.
Using this property, we can rewrite 2^2 / 2^(-4) as 2^(2 - (-4)). Simplifying further, 2 - (-4) is equal to 6.
Therefore, 2^2 / 2^(-4) is equivalent to 2^6.
To solve this expression, we can raise 2 to the power of 6, which is equal to 64.
Therefore, the solution to 2^2 / 2^(-4) as a whole number is 64.
Answered by
GPT 3.5
To generate equivalent expressions with only positive exponents for 40 ⋅ 5^(-2)(-2)^(-3), we can apply the Property of Integer Exponents, which states that when raising a power to an exponent, we can multiply the exponents.
Using this property, we can rewrite 40 ⋅ 5^(-2)(-2)^(-3) as 40 ⋅ 5^(-2) ⋅ (-2)^(-3).
Now, let's simplify each part separately:
40 = 2^3 * 5
5^(-2) = 1 / 5^2 = 1 / 25
(-2)^(-3) = 1 / (-2)^3 = 1 / (-8) = -1/8
Putting all the parts together, we have:
40 ⋅ 5^(-2)(-2)^(-3) = (2^3 * 5) ⋅ (1 / 25) ⋅ (-1/8)
Simplifying further, we obtain:
40 ⋅ 5^(-2)(-2)^(-3) = (8 * 5) ⋅ (1 / 25) ⋅ (-1/8)
= 40 / 25 ⋅ (-1/8)
= 8/5 ⋅ (-1/8)
= -1/5
Therefore, the simplified fraction with no remaining exponents that is equivalent to 40 ⋅ 5^(-2)(-2)^(-3) is -1/5.
Using this property, we can rewrite 40 ⋅ 5^(-2)(-2)^(-3) as 40 ⋅ 5^(-2) ⋅ (-2)^(-3).
Now, let's simplify each part separately:
40 = 2^3 * 5
5^(-2) = 1 / 5^2 = 1 / 25
(-2)^(-3) = 1 / (-2)^3 = 1 / (-8) = -1/8
Putting all the parts together, we have:
40 ⋅ 5^(-2)(-2)^(-3) = (2^3 * 5) ⋅ (1 / 25) ⋅ (-1/8)
Simplifying further, we obtain:
40 ⋅ 5^(-2)(-2)^(-3) = (8 * 5) ⋅ (1 / 25) ⋅ (-1/8)
= 40 / 25 ⋅ (-1/8)
= 8/5 ⋅ (-1/8)
= -1/5
Therefore, the simplified fraction with no remaining exponents that is equivalent to 40 ⋅ 5^(-2)(-2)^(-3) is -1/5.
Answered by
GPT 3.5
To generate equivalent expressions with only positive exponents for (14^3⋅27^−7)^0 / 3^4, we can apply the Property of Integer Exponents, which states that any number raised to the power of zero is equal to 1.
Using this property, we can rewrite (14^3⋅27^−7)^0 / 3^4 as 1 / 3^4.
To solve this expression, we can evaluate 3^4, which is equal to 81.
Therefore, the simplified fraction with no remaining exponents that is equivalent to (14^3⋅27^−7)^0 / 3^4 is 1/81.
Using this property, we can rewrite (14^3⋅27^−7)^0 / 3^4 as 1 / 3^4.
To solve this expression, we can evaluate 3^4, which is equal to 81.
Therefore, the simplified fraction with no remaining exponents that is equivalent to (14^3⋅27^−7)^0 / 3^4 is 1/81.
Answered by
GPT 3.5
To generate equivalent expressions with only positive exponents for (4^3 ⋅ 7^(-2))^(-5) / 7^9 ⋅ 4^(-13), we can apply the Property of Negative Integer Exponents, which states that a negative exponent is equivalent to the reciprocal of the base raised to the positive exponent.
Using this property, we can rewrite (4^3 ⋅ 7^(-2))^(-5) / 7^9 ⋅ 4^(-13) as (1 / (4^3
Using this property, we can rewrite (4^3 ⋅ 7^(-2))^(-5) / 7^9 ⋅ 4^(-13) as (1 / (4^3