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Popular >

simplify sqrt(y^{-4)}

Solution

simplify

y^{- 4}

Solution

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

Solution steps

y^{- 4}

Apply exponent rule:

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

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

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

Apply radical rule:

\frac{a}{b} = \frac{a}{b},

assuming

a \geq 0, b \geq 0

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

Apply radical rule:

1 = 1

1 = 1

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

Simplify

y^{4} : y^{2}

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

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Frequently Asked Questions (FAQ)

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