Simplify ((3z^5y^-4)/(4z^-2y^5))^-2

Math
Move to the denominator using the negative exponent rule .
Multiply by by adding the exponents.
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Move .
Use the power rule to combine exponents.
Add and .
Move to the numerator using the negative exponent rule .
Multiply by by adding the exponents.
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Move .
Use the power rule to combine exponents.
Add and .
Change the sign of the exponent by rewriting the base as its reciprocal.
Use the power rule to distribute the exponent.
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Apply the product rule to .
Apply the product rule to .
Apply the product rule to .
Simplify the numerator.
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Raise to the power of .
Multiply the exponents in .
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Apply the power rule and multiply exponents, .
Multiply by .
Simplify the denominator.
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Raise to the power of .
Multiply the exponents in .
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Apply the power rule and multiply exponents, .
Multiply by .
Simplify ((3z^5y^-4)/(4z^-2y^5))^-2

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