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Popular >

simplify sqrt(y^{-2)}

Solution

simplify

y^{- 2}

Solution

\frac{1}{y}

Solution steps

y^{- 2}

Apply exponent rule:

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

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

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

Apply radical rule:

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

assuming

a \geq 0, b \geq 0

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

Apply radical rule:

1 = 1

1 = 1

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

Apply radical rule:

a^{2} = a,

assuming

a \geq 0

y^{2} = y

= \frac{1}{y}

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Frequently Asked Questions (FAQ)

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