Which of the following is developed to result in the answer of 1?(1 point)
Responses
50+90
5 superscript 0 baseline plus 9 superscript 0 baseline
3(80)
3 left parenthesis 8 superscript 0 baseline right parenthesis
(−2.97)0
left parenthesis negative 2.97 right parenthesis superscript 0 baseline
13−(7.42)0
9 answers
13−(7.42)0
Apply the Property of Negative Integer Exponents to solve 3 to the power of −4. The answer should not contain any exponent expression or decimals.
To solve 3 to the power of -4 using the property of negative integer exponents, we can write it as the reciprocal of 3 to the power of 4:
3^-4 = 1 / (3^4)
Now, we can evaluate 3^4:
3^4 = 81
So,
3^-4 = 1 / 81
Therefore, the answer is 1/81.
3^-4 = 1 / (3^4)
Now, we can evaluate 3^4:
3^4 = 81
So,
3^-4 = 1 / 81
Therefore, the answer is 1/81.
Apply the Property of Negative Integer Exponents to generate an expression equivalent to 7 to the power of −3 ⋅ 7 to the power of −5 with positive exponents only.
To apply the Property of Negative Integer Exponents and generate an expression equivalent to 7 to the power of −3 multiplied by 7 to the power of −5 with positive exponents only, we can rewrite it as the reciprocal of 7 to the power of 3 multiplied by the reciprocal of 7 to the power of 5:
7^-3 ⋅ 7^-5 = 1 / (7^3) ⋅ 1 / (7^5)
Using the property of multiplying reciprocals, we can simplify further:
1 / (7^3) ⋅ 1 / (7^5) = 1 / (7^3 ⋅ 7^5)
Now, we can apply the Property of Exponents by adding the exponents when multiplying the same base:
7^3 ⋅ 7^5 = 7^(3+5) = 7^8
So, the expression equivalent to 7 to the power of −3 multiplied by 7 to the power of −5 with positive exponents only is:
1 / (7^8)
7^-3 ⋅ 7^-5 = 1 / (7^3) ⋅ 1 / (7^5)
Using the property of multiplying reciprocals, we can simplify further:
1 / (7^3) ⋅ 1 / (7^5) = 1 / (7^3 ⋅ 7^5)
Now, we can apply the Property of Exponents by adding the exponents when multiplying the same base:
7^3 ⋅ 7^5 = 7^(3+5) = 7^8
So, the expression equivalent to 7 to the power of −3 multiplied by 7 to the power of −5 with positive exponents only is:
1 / (7^8)
Apply the Property of Negative Integer Exponents to generate an expression equivalent to 5 to the power of −9/4−12 with positive exponents only.
To apply the Property of Negative Integer Exponents and generate an expression equivalent to 5 to the power of -9/4 - 12 with positive exponents only,
we first need to simplify the negative exponent.
Using the rule that (a^b)^c = a^(b*c), we can rewrite it as:
5^((-9/4)*(-1) - 12)
Next, we can simplify the exponents:
-9/4 * -1 = 9/4
So the expression becomes:
5^(9/4 - 12)
To simplify further, we can find a common denominator for 9/4 and 12:
9/4 = 27/12
Now we can rewrite the expression as:
5^(27/12 - 12/1)
To subtract fractions, we need a common denominator of 12:
27/12 - 12/1 = (27 - 144)/12 = -117/12
Finally, the expression equivalent to 5 to the power of -9/4 - 12 with positive exponents only is:
5^(-117/12)
we first need to simplify the negative exponent.
Using the rule that (a^b)^c = a^(b*c), we can rewrite it as:
5^((-9/4)*(-1) - 12)
Next, we can simplify the exponents:
-9/4 * -1 = 9/4
So the expression becomes:
5^(9/4 - 12)
To simplify further, we can find a common denominator for 9/4 and 12:
9/4 = 27/12
Now we can rewrite the expression as:
5^(27/12 - 12/1)
To subtract fractions, we need a common denominator of 12:
27/12 - 12/1 = (27 - 144)/12 = -117/12
Finally, the expression equivalent to 5 to the power of -9/4 - 12 with positive exponents only is:
5^(-117/12)
Which of the following is developed to be equivalent to 1/8 to the power of 5?
a. 8 to the power of −5
b. 5 to the power of−8
c. 8 1/5
d. 8 to the power of 5
a. 8 to the power of −5
b. 5 to the power of−8
c. 8 1/5
d. 8 to the power of 5
The expression developed to be equivalent to 1/8 to the power of 5 is:
c. 8 1/5
c. 8 1/5