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Popular >

simplify (y^{-1/2})^4

Solution

simplify

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

Solution

\frac{1}{y ^{2}}

Solution steps

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

Apply exponent rule:

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

assuming

a \geq 0

= y^{- \frac{1}{2} \cdot 4}

- \frac{1}{2} \cdot 4 = - 2

= y^{- 2}

Apply exponent rule:

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

y^{- 2} = \frac{1}{y ^{2}}

= \frac{1}{y ^{2}}

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Frequently Asked Questions (FAQ)

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