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Popular >

simplify (y^{-2})^2

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

(a^{b})^{c} = a^{b c},

assuming

a \geq 0

= y^{- 2 \cdot 2}

Multiply the numbers:

2 \cdot 2 = 4

= y^{- 4}

Apply exponent rule:

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

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

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

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Frequently Asked Questions (FAQ)

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