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Popular >

simplify (-3/4)^{-4}

Solution

simplify

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

Solution

\frac{256}{81}

+1

Decimal Notation

3.16049 \dots

Solution steps

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

Apply exponent rule:

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

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

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

(- \frac{3}{4})^{4} = \frac{81}{256}

= \frac{1}{\frac{81}{256}}

Apply the fraction rule:

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

= \frac{256}{81}

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Frequently Asked Questions (FAQ)

What is (-3/4)^{-4} ?
The solution to (-3/4)^{-4} is 256/81