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Popular >

simplify (\sqrt[-3]{-27})^3

Solution

simplify

Solution

- \frac{1}{27}

+1

Decimal Notation

- 0.03703 \dots

Solution steps

Apply radical rule:

= ((- 27)^{\frac{1}{- 3}})^{3}

Apply exponent rule:

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

= (- 27)^{\frac{1}{- 3} \cdot 3}

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

= (- 27)^{- 1}

Apply exponent rule:

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

= \frac{1}{- 27}

Apply the fraction rule:

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

= - \frac{1}{27}

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Frequently Asked Questions (FAQ)

What is (\sqrt[-3]{-27})^3 ?
The solution to (\sqrt[-3]{-27})^3 is -1/27