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Popular >

simplify (1/2+1/3)^{-2}

Solution

simplify

(\frac{1}{2} + \frac{1}{3})^{- 2}

Solution

\frac{36}{25}

+1

Decimal Notation

1.44

Solution steps

(\frac{1}{2} + \frac{1}{3})^{- 2}

Apply exponent rule:

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

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

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

(\frac{1}{2} + \frac{1}{3})^{2} = \frac{25}{36}

= \frac{1}{\frac{25}{36}}

Apply the fraction rule:

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

= \frac{36}{25}

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Frequently Asked Questions (FAQ)

What is (1/2+1/3)^{-2} ?
The solution to (1/2+1/3)^{-2} is 36/25