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Popular >

simplify (27/8)^{-1/3}

Solution

simplify

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

Solution

\frac{2}{3}

+1

Decimal Notation

0.66666 \dots

Solution steps

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

Apply exponent rule:

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

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

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

(\frac{27}{8})^{\frac{1}{3}} = \frac{3}{2}

= \frac{1}{\frac{3}{2}}

Apply the fraction rule:

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

= \frac{2}{3}

Popular Examples

0.5X^2+1.5X-2=0

0.5 X^{2} + 1.5 X - 2 = 0

simplify x^{-1/2}simplify

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(x - 8)^{2} = 25

factor (m-n)^2-(2m+3n)^2 factor

(m - n)^{2} - (2 m + 3 n)^{2}

simplify-2/3 (-3)simplify

- \frac{2}{3} (- 3)

Frequently Asked Questions (FAQ)

What is (27/8)^{-1/3} ?
The solution to (27/8)^{-1/3} is 2/3