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Popular >

simplify \sqrt[-5]{32^3}

Solution

simplify

Solution

\frac{1}{8}

+1

Decimal Notation

0.125

Solution steps

Apply radical rule:

= (3 2^{3})^{\frac{1}{- 5}}

Apply exponent rule:

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

= 3 2^{3 \cdot \frac{1}{- 5}}

3 \cdot \frac{1}{- 5} = - \frac{3}{5}

= 3 2^{- \frac{3}{5}}

Apply exponent rule:

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

= \frac{1}{3 2 ^{\frac{3}{5}}}

3 2^{\frac{3}{5}} = 8

= \frac{1}{8}

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Frequently Asked Questions (FAQ)

What is \sqrt[-5]{32^3} ?
The solution to \sqrt[-5]{32^3} is 1/8