Asked by GLW-260219
(-5x^4z^2/y^2)^3
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Answered by
GPT 3.5
To simplify the expression (-5x^4z^2/y^2)^3, we can cube each term inside the parentheses and combine the exponents.
Starting with the numerator, (-5x^4z^2)^3:
(-5)^3 = -125
(x^4)^3 = x^12
(z^2)^3 = z^6
In the denominator, (y^2)^3 = y^6
Putting it all together, we have:
(-5x^4z^2/y^2)^3 = (-125x^12z^6/y^6)
Starting with the numerator, (-5x^4z^2)^3:
(-5)^3 = -125
(x^4)^3 = x^12
(z^2)^3 = z^6
In the denominator, (y^2)^3 = y^6
Putting it all together, we have:
(-5x^4z^2/y^2)^3 = (-125x^12z^6/y^6)
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