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Popular >

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

Solution

simplify

Solution

\frac{1}{5}

+1

Decimal Notation

0.2

Solution steps

Apply radical rule:

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

Apply exponent rule:

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

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

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

= 5^{- 1}

Apply exponent rule:

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

= \frac{1}{5}

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Frequently Asked Questions (FAQ)

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