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Popular >

simplify (4/3)^{-5}

Solution

simplify

(\frac{4}{3})^{- 5}

Solution

\frac{243}{1024}

+1

Decimal Notation

0.2373046875

Solution steps

(\frac{4}{3})^{- 5}

Apply exponent rule:

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

(\frac{4}{3})^{- 5} = \frac{1}{( \frac{4}{3} ) ^{5}}

= \frac{1}{( \frac{4}{3} ) ^{5}}

(\frac{4}{3})^{5} = \frac{1024}{243}

= \frac{1}{\frac{1024}{243}}

Apply the fraction rule:

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

= \frac{243}{1024}

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Frequently Asked Questions (FAQ)

What is (4/3)^{-5} ?
The solution to (4/3)^{-5} is 243/1024