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Popular >

simplify y^{-4}(y^2)^2

Solution

simplify

y^{- 4} (y^{2})^{2}

Solution

1

Solution steps

y^{- 4} (y^{2})^{2}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

y^{- 4} = \frac{1}{y ^{4}}

= \frac{1}{y ^{4}} (y^{2})^{2}

Simplify

(y^{2})^{2} : y^{4}

= \frac{1}{y ^{4}} y^{4}

Cross-cancel common factor:

y^{4}

= 1

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Frequently Asked Questions (FAQ)

What is y^{-4}(y^2)^2 ?
The solution to y^{-4}(y^2)^2 is 1