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Popular >

expand (2/3)^{-2}

Solution

expand

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

Solution

\frac{9}{4}

+1

Decimal Notation

2.25

Solution steps

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

Apply exponent rule:

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

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

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

= \frac{1}{\frac{2 ^{2}}{3 ^{2}}}

Apply the fraction rule:

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

= \frac{3 ^{2}}{2 ^{2}}

3^{2} = 9

= \frac{9}{2 ^{2}}

2^{2} = 4

= \frac{9}{4}

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Frequently Asked Questions (FAQ)

What is expand (2/3)^{-2} ?
The solution to expand (2/3)^{-2} is 9/4