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Popular >

simplify \sqrt[-4]{81^3}

Solution

simplify

Solution

\frac{1}{27}

+1

Decimal Notation

0.03703 \dots

Solution steps

Apply radical rule:

= (8 1^{3})^{\frac{1}{- 4}}

Apply exponent rule:

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

= 8 1^{3 \cdot \frac{1}{- 4}}

3 \cdot \frac{1}{- 4} = - \frac{3}{4}

= 8 1^{- \frac{3}{4}}

Apply exponent rule:

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

= \frac{1}{8 1 ^{\frac{3}{4}}}

8 1^{\frac{3}{4}} = 27

= \frac{1}{27}

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Frequently Asked Questions (FAQ)

What is \sqrt[-4]{81^3} ?
The solution to \sqrt[-4]{81^3} is 1/27