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Popular >

simplify (4/7)^{-2}

Solution

simplify

(\frac{4}{7})^{- 2}

Solution

\frac{49}{16}

+1

Decimal Notation

3.0625

Solution steps

(\frac{4}{7})^{- 2}

Apply exponent rule:

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

(\frac{4}{7})^{- 2} = \frac{1}{( \frac{4}{7} ) ^{2}}

= \frac{1}{( \frac{4}{7} ) ^{2}}

(\frac{4}{7})^{2} = \frac{16}{49}

= \frac{1}{\frac{16}{49}}

Apply the fraction rule:

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

= \frac{49}{16}

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simplify (-10)/2 simplify

\frac{- 10}{2}

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Frequently Asked Questions (FAQ)

What is (4/7)^{-2} ?
The solution to (4/7)^{-2} is 49/16