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Popular >

simplify (-8/27)^{-4/3}

Solution

simplify

(- \frac{8}{27})^{- \frac{4}{3}}

Solution

\frac{81}{16}

+1

Solution steps

(- \frac{8}{27})^{- \frac{4}{3}}

Apply exponent rule:

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

(- \frac{8}{27})^{- \frac{4}{3}} = \frac{1}{( - \frac{8}{27} ) ^{\frac{4}{3}}}

= \frac{1}{( - \frac{8}{27} ) ^{\frac{4}{3}}}

(- \frac{8}{27})^{\frac{4}{3}} = (\frac{8}{27})^{\frac{4}{3}}

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

(\frac{8}{27})^{\frac{4}{3}} = \frac{16}{81}

= \frac{1}{\frac{16}{81}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{81}{16}

Popular Examples

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8 x^{2} - 2 x - 2

factor 16x^2-14x factor

16 x^{2} - 14 x

factor 5a^2-6a factor

5 a^{2} - 6 a

x^{2} + 7 x + 14 = 0

simplify (2+3i)/(4-3i)simplify

\frac{2 + 3 i}{4 - 3 i}

Frequently Asked Questions (FAQ)

What is (-8/27)^{-4/3} ?
The solution to (-8/27)^{-4/3} is 81/16