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Popular >

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

Solution

simplify

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

Solution

\frac{1}{y}

Solution steps

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

Apply exponent rule:

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

assuming

a \geq 0

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

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

= y^{- 1}

Apply exponent rule:

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

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

= \frac{1}{y}

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Frequently Asked Questions (FAQ)

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