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Popular >

simplify (-27)^{-4/3}

Solution

simplify

(- 27)^{- \frac{4}{3}}

Solution

\frac{1}{81}

+1

Decimal Notation

0.01234 \dots

Solution steps

(- 27)^{- \frac{4}{3}}

Apply exponent rule:

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

(- 27)^{- \frac{4}{3}} = \frac{1}{( - 27 ) ^{\frac{4}{3}}}

= \frac{1}{( - 27 ) ^{\frac{4}{3}}}

(- 27)^{\frac{4}{3}} = 2 7^{\frac{4}{3}}

= \frac{1}{2 7 ^{\frac{4}{3}}}

2 7^{\frac{4}{3}} = 81

= \frac{1}{81}

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Frequently Asked Questions (FAQ)

What is (-27)^{-4/3} ?
The solution to (-27)^{-4/3} is 1/81