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Popular >

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

Solution

simplify

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

Solution

\frac{4 x ^{2}}{9}

Solution steps

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

Apply exponent rule:

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

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

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

Simplify

(\frac{3}{2 x})^{2} : \frac{9}{4 x ^{2}}

= \frac{1}{\frac{9}{4 x ^{2}}}

Apply the fraction rule:

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

= \frac{4 x ^{2}}{9}

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Frequently Asked Questions (FAQ)

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