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Popular >

simplify (27/64)^{(-2)/3}

Solution

simplify

(\frac{27}{64})^{\frac{- 2}{3}}

Solution

\frac{16}{9}

+1

Decimal Notation

1.77777 \dots

Solution steps

(\frac{27}{64})^{\frac{- 2}{3}}

Apply exponent rule:

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

= \frac{2 7 ^{\frac{- 2}{3}}}{6 4 ^{\frac{- 2}{3}}}

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

= \frac{\frac{1}{9}}{6 4 ^{\frac{- 2}{3}}}

6 4^{\frac{- 2}{3}} = \frac{1}{16}

= \frac{\frac{1}{9}}{\frac{1}{16}}

\frac{\frac{1}{9}}{\frac{1}{16}} = \frac{16}{9}

= \frac{16}{9}

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Frequently Asked Questions (FAQ)

What is (27/64)^{(-2)/3} ?
The solution to (27/64)^{(-2)/3} is 16/9