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Popular >

simplify (3/4)^{-7}

Solution

simplify

(\frac{3}{4})^{- 7}

Solution

\frac{16384}{2187}

+1

Decimal Notation

7.49154 \dots

Solution steps

(\frac{3}{4})^{- 7}

Apply exponent rule:

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

(\frac{3}{4})^{- 7} = \frac{1}{( \frac{3}{4} ) ^{7}}

= \frac{1}{( \frac{3}{4} ) ^{7}}

(\frac{3}{4})^{7} = \frac{2187}{16384}

= \frac{1}{\frac{2187}{16384}}

Apply the fraction rule:

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

= \frac{16384}{2187}

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Frequently Asked Questions (FAQ)

What is (3/4)^{-7} ?
The solution to (3/4)^{-7} is 16384/2187