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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

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

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

Simplify

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

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

Apply the fraction rule:

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

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

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Frequently Asked Questions (FAQ)

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