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Popular >

simplify (6/7)^{-2}

Solution

simplify

(\frac{6}{7})^{- 2}

Solution

\frac{49}{36}

+1

Decimal Notation

1.36111 \dots

Solution steps

(\frac{6}{7})^{- 2}

Apply exponent rule:

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

(\frac{6}{7})^{- 2} = \frac{1}{( \frac{6}{7} ) ^{2}}

= \frac{1}{( \frac{6}{7} ) ^{2}}

(\frac{6}{7})^{2} = \frac{36}{49}

= \frac{1}{\frac{36}{49}}

Apply the fraction rule:

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

= \frac{49}{36}

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Frequently Asked Questions (FAQ)

What is (6/7)^{-2} ?
The solution to (6/7)^{-2} is 49/36