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Popular >

simplify (8/27)^{(-2)/3}

Solution

simplify

(\frac{8}{27})^{\frac{- 2}{3}}

Solution

\frac{9}{4}

+1

Decimal Notation

2.25

Solution steps

(\frac{8}{27})^{\frac{- 2}{3}}

Apply exponent rule:

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

= \frac{8 ^{\frac{- 2}{3}}}{2 7 ^{\frac{- 2}{3}}}

8^{\frac{- 2}{3}} = \frac{1}{4}

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

2 7^{\frac{- 2}{3}} = \frac{1}{9}

= \frac{\frac{1}{4}}{\frac{1}{9}}

\frac{\frac{1}{4}}{\frac{1}{9}} = \frac{9}{4}

= \frac{9}{4}

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Frequently Asked Questions (FAQ)

What is (8/27)^{(-2)/3} ?
The solution to (8/27)^{(-2)/3} is 9/4