Asked by Ownjskn
Simplify (x^5)^0\cdotx^9
Answers
Answered by
Ownjskn
Simplify (z^6\cdotz^7)^5/(z^5\cdotz^2)^3
Answered by
Ownjskn
Simplify (y^-4\cdoty^-7)^3
Answered by
Ownjskn
Apply the properties of integer exponents to generate an expression equivalent to 3^7×3^-9 with only positive exponents then solve the expression
The answer will be a simplified fraction with no remaining exponents
The answer will be a simplified fraction with no remaining exponents
Answered by
Ownjskn
Apply the properties of integer exponents to generate an expression equivalent to 2^2/2^-4 with only positive exponents then solve the expression
Provide it as a whole number
Provide it as a whole number
Answered by
Ownjskn
Apply the properties of integer exponents to generate an expression equivalent to 4^0×5^-2/(-2)^-3 with only positive exponents then solve the expression
It will be simplified with no remaining exponents
It will be simplified with no remaining exponents
Answered by
Ownjskn
Apply the properties of integer exponents to generate an expression equivalent to (14^3×27^-7)^0/3^4 with only positive exponents then solve the expression
It will be a simplified fraction with no remaining exponents
It will be a simplified fraction with no remaining exponents
Answered by
Ownjskn
Apply the properties of integer exponents to generate an expression equivalent to (4^3×7^-2)^-5/7^9×4^-13 with only positive exponents then solve the expression
It will be a simplified fraction with no remaining exponents
It will be a simplified fraction with no remaining exponents
Answered by
GPT 3.5
(x^5)^0 * x^9
Anything raised to the power of 0 is equal to 1:
1 * x^9
Simplifying further:
x^9
Anything raised to the power of 0 is equal to 1:
1 * x^9
Simplifying further:
x^9
Answered by
GPT 3.5
To simplify this expression, we can first apply the power rule for exponents:
(z^6 * z^7)^5 / (z^5 * z^2)^3
= z^(6*5 + 7*5) / z^(5*3 + 2*3)
= z^55 / z^15
Next, we can use the quotient rule for exponents:
= z^(55-15)
= z^40
(z^6 * z^7)^5 / (z^5 * z^2)^3
= z^(6*5 + 7*5) / z^(5*3 + 2*3)
= z^55 / z^15
Next, we can use the quotient rule for exponents:
= z^(55-15)
= z^40
Answered by
GPT 3.5
To simplify this expression, we can apply the power rule for exponents:
(y^-4 * y^-7)^3
Using the product rule, we can multiply the exponents:
y^(-4*3) * y^(-7*3)
Simplifying further:
y^(-12) * y^(-21)
Using the product rule again, we can add the exponents:
y^(-12 - 21)
Simplifying further:
y^(-33)
Therefore, the simplified expression is y^(-33).
(y^-4 * y^-7)^3
Using the product rule, we can multiply the exponents:
y^(-4*3) * y^(-7*3)
Simplifying further:
y^(-12) * y^(-21)
Using the product rule again, we can add the exponents:
y^(-12 - 21)
Simplifying further:
y^(-33)
Therefore, the simplified expression is y^(-33).
Answered by
GPT 3.5
To convert the expression 3^7 * 3^-9 with only positive exponents, we can make use of the property of negative exponents: a^(-n) = 1 / a^n.
First, let's rewrite the expression using this property:
3^7 * 3^-9 = 3^7 * (1 / 3^9)
Applying the product rule for exponents, we can combine the terms:
3^7 * (1 / 3^9) = 3^(7 - 9)
Simplifying the exponent:
= 3^(-2)
Using the property of negative exponents again, we can convert this to a positive exponent:
3^(-2) = 1 / 3^2
Evaluating 3^2:
1 / 3^2 = 1 / 9
Therefore, the simplified fraction without remaining exponents is 1/9.
First, let's rewrite the expression using this property:
3^7 * 3^-9 = 3^7 * (1 / 3^9)
Applying the product rule for exponents, we can combine the terms:
3^7 * (1 / 3^9) = 3^(7 - 9)
Simplifying the exponent:
= 3^(-2)
Using the property of negative exponents again, we can convert this to a positive exponent:
3^(-2) = 1 / 3^2
Evaluating 3^2:
1 / 3^2 = 1 / 9
Therefore, the simplified fraction without remaining exponents is 1/9.
Answered by
GPT 3.5
To convert the expression 2^2 / 2^-4 with only positive exponents, we can use the property of negative exponents: a^(-n) = 1 / a^n.
First, let's rewrite the expression using this property:
2^2 / 2^-4 = 2^2 / (1 / 2^4)
Using the property of division with exponents, we subtract the exponents when dividing with the same base:
= 2^2 * 2^4
Applying the product rule for exponents, we can combine the terms:
= 2^(2+4)
Simplifying the exponent:
= 2^6
Since there are no remaining exponents, we can directly evaluate 2^6:
= 64
Therefore, the expression simplifies to the whole number 64.
First, let's rewrite the expression using this property:
2^2 / 2^-4 = 2^2 / (1 / 2^4)
Using the property of division with exponents, we subtract the exponents when dividing with the same base:
= 2^2 * 2^4
Applying the product rule for exponents, we can combine the terms:
= 2^(2+4)
Simplifying the exponent:
= 2^6
Since there are no remaining exponents, we can directly evaluate 2^6:
= 64
Therefore, the expression simplifies to the whole number 64.
Answered by
GPT 3.5
To convert the expression 4^0 * 5^-2 / (-2)^-3 with only positive exponents, we can use the property of negative exponents: a^(-n) = 1 / a^n.
First, let's simplify each part of the expression using the properties of exponents:
4^0 * 5^-2 / (-2)^-3
Since any number raised to the power of 0 is equal to 1, we have:
1 * 5^-2 / (-2)^-3
Now, let's convert the negative exponents to positive exponents using the property mentioned earlier:
1 / 5^2 / (1 / (-2)^3)
Applying the property of division with exponents, we can subtract the exponents when dividing with the same base:
= 1 / 5^2 * (-2)^3
Simplifying the exponents:
= 1 / 25 * (-8)
Next, let's simplify the division:
= -8/25
Therefore, the simplified expression with no remaining exponents is -8/25.
First, let's simplify each part of the expression using the properties of exponents:
4^0 * 5^-2 / (-2)^-3
Since any number raised to the power of 0 is equal to 1, we have:
1 * 5^-2 / (-2)^-3
Now, let's convert the negative exponents to positive exponents using the property mentioned earlier:
1 / 5^2 / (1 / (-2)^3)
Applying the property of division with exponents, we can subtract the exponents when dividing with the same base:
= 1 / 5^2 * (-2)^3
Simplifying the exponents:
= 1 / 25 * (-8)
Next, let's simplify the division:
= -8/25
Therefore, the simplified expression with no remaining exponents is -8/25.
Answered by
GPT 3.5
To convert the expression (14^3 * 27^-7)^0 / 3^4 with only positive exponents, we can use the property of negative exponents: a^(-n) = 1 / a^n.
First, let's simplify each part of the expression using the properties of exponents:
(14^3 * 27^-7)^0 / 3^4
Since any number raised to the power of 0 is equal to 1, we have:
1^0 / 3^4
Simplifying further:
1 / 3^4
Now we have the expression 1 / 3^4. We can evaluate this by expanding 3^4:
1 / 3^4 = 1 / (3 * 3 * 3 * 3) = 1 / 81
Therefore, the simplified fraction with no remaining exponents is 1/81.
First, let's simplify each part of the expression using the properties of exponents:
(14^3 * 27^-7)^0 / 3^4
Since any number raised to the power of 0 is equal to 1, we have:
1^0 / 3^4
Simplifying further:
1 / 3^4
Now we have the expression 1 / 3^4. We can evaluate this by expanding 3^4:
1 / 3^4 = 1 / (3 * 3 * 3 * 3) = 1 / 81
Therefore, the simplified fraction with no remaining exponents is 1/81.
Answered by
GPT 3.5
To convert the expression (4^3 * 7^-2)^-5 / 7^9 * 4^-13 with only positive exponents, we can use the properties of exponents.
First, let's simplify each part of the expression using the properties of exponents:
(4^3 * 7^-2)^-5 / 7^9 * 4^-13
Using the property of negative exponents, we can rewrite the expression:
(4^3 * 1/7^2)^-5 / 7^9 * 1/4^13
Simplifying the exponents and combining the terms:
(64 * 1/49)^-5 / 7^9 * 1/4^13
Using the property of division with exponents, we can subtract the exponents when dividing with the same base:
= (64 / 49)^-5 / 7^9 * 1/4^13
Now let's simplify the fractions:
= (64 / 49)^-5 / 7^9 * 1/2^26
Using the property of negative exponents, we convert the expression into positive exponents:
= (49 / 64)^5 * 7^-9 * 2^(-26)
Now we have an expression with only positive exponents. Let's simplify further:
= (49^5 / 64^5) * 7^-9 * 2^(-26)
= 49^5 * 64^-5 * 7^-9 * 2^(-26)
Using the property of negative exponents, we can rewrite the expression with positive exponents:
= 49^5 / 64^5 * 1/7^9 * 1/2^26
Now let's simplify the expression:
= (49/64)^5 * 1/(7^9 * 2^26)
= (49/64)^5 / (7^9 * 2^26)
Therefore, the simplified fraction with no remaining exponents is (49/64)^5 / (7^9 * 2^26).
First, let's simplify each part of the expression using the properties of exponents:
(4^3 * 7^-2)^-5 / 7^9 * 4^-13
Using the property of negative exponents, we can rewrite the expression:
(4^3 * 1/7^2)^-5 / 7^9 * 1/4^13
Simplifying the exponents and combining the terms:
(64 * 1/49)^-5 / 7^9 * 1/4^13
Using the property of division with exponents, we can subtract the exponents when dividing with the same base:
= (64 / 49)^-5 / 7^9 * 1/4^13
Now let's simplify the fractions:
= (64 / 49)^-5 / 7^9 * 1/2^26
Using the property of negative exponents, we convert the expression into positive exponents:
= (49 / 64)^5 * 7^-9 * 2^(-26)
Now we have an expression with only positive exponents. Let's simplify further:
= (49^5 / 64^5) * 7^-9 * 2^(-26)
= 49^5 * 64^-5 * 7^-9 * 2^(-26)
Using the property of negative exponents, we can rewrite the expression with positive exponents:
= 49^5 / 64^5 * 1/7^9 * 1/2^26
Now let's simplify the expression:
= (49/64)^5 * 1/(7^9 * 2^26)
= (49/64)^5 / (7^9 * 2^26)
Therefore, the simplified fraction with no remaining exponents is (49/64)^5 / (7^9 * 2^26).
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.