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Popular >

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

Solution

simplify

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

Solution

\frac{4}{9}

+1

Decimal Notation

0.44444 \dots

Solution steps

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

Apply exponent rule:

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

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

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

(- \frac{3}{2})^{2} = \frac{9}{4}

= \frac{1}{\frac{9}{4}}

Apply the fraction rule:

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

= \frac{4}{9}

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Frequently Asked Questions (FAQ)

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