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Popular >

expand (3/4)^{-3}

Solution

expand

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

Solution

\frac{64}{27}

+1

Decimal Notation

2.37037 \dots

Solution steps

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

Apply exponent rule:

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

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

(\frac{3}{4})^{3} = \frac{3 ^{3}}{4 ^{3}}

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

Apply the fraction rule:

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

= \frac{4 ^{3}}{3 ^{3}}

4^{3} = 64

= \frac{64}{3 ^{3}}

3^{3} = 27

= \frac{64}{27}

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Frequently Asked Questions (FAQ)

What is expand (3/4)^{-3} ?
The solution to expand (3/4)^{-3} is 64/27