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Popular >

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

Solution

simplify

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

Solution

- \frac{8}{9}

+1

Solution steps

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

Apply exponent rule:

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

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

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

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

= - 2 \cdot \frac{1}{\frac{9}{4}}

Apply the fraction rule:

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

= - 2 \cdot \frac{4}{9}

- 2 \cdot \frac{4}{9} = - \frac{8}{9}

= - \frac{8}{9}

Popular Examples

96 = 84 - 12 r

simplify (20n^3+15n^2)/(20n^2+10n)simplify

\frac{20 n ^{3} + 15 n ^{2}}{20 n ^{2} + 10 n}

x^{2} = 81

x^{2} + 7 x + 1 = 0

simplify 1/(1+i)-1/(1-i)simplify

\frac{1}{1 + i} - \frac{1}{1 - i}

Frequently Asked Questions (FAQ)

What is simplify-2(3/2)^{-2} ?
The solution to simplify-2(3/2)^{-2} is -8/9