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Popular >

simplify (2/3)^{-5}

Solution

simplify

(\frac{2}{3})^{- 5}

Solution

\frac{243}{32}

+1

Decimal Notation

7.59375

Solution steps

(\frac{2}{3})^{- 5}

Apply exponent rule:

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

(\frac{2}{3})^{- 5} = \frac{1}{( \frac{2}{3} ) ^{5}}

= \frac{1}{( \frac{2}{3} ) ^{5}}

(\frac{2}{3})^{5} = \frac{32}{243}

= \frac{1}{\frac{32}{243}}

Apply the fraction rule:

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

= \frac{243}{32}

Popular Examples

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6 a^{3} + 32 a b^{2}

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a + \frac{1}{b + \frac{1}{c + \frac{1}{d}}}

5 x^{2} + 6 x + 3 = 0

Frequently Asked Questions (FAQ)

What is (2/3)^{-5} ?
The solution to (2/3)^{-5} is 243/32