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Popular >

simplify sqrt(a^{-3)}

Solution

simplify

a^{- 3}

Solution

\frac{1}{a a}

Solution steps

a^{- 3}

Apply exponent rule:

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

a^{- 3} = \frac{1}{a ^{3}}

= \frac{1}{a ^{3}}

Apply radical rule:

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

assuming

a \geq 0, b \geq 0

= \frac{1}{a ^{3}}

Apply radical rule:

1 = 1

1 = 1

= \frac{1}{a ^{3}}

Simplify

a^{3} : a a

= \frac{1}{a a}

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Frequently Asked Questions (FAQ)

What is sqrt(a^{-3)} ?
The solution to sqrt(a^{-3)} is 1/(asqrt(a))