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Popular >

simplify ((3x)/(4x^2))^2

Solution

simplify

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

Solution

\frac{9}{16 x ^{2}}

Solution steps

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

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

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

Simplify

(3 x)^{2} : 9 x^{2}

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

Simplify

(4 x^{2})^{2} : 16 x^{4}

= \frac{9 x ^{2}}{16 x ^{4}}

Apply exponent rule:

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

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

= \frac{9}{16 x ^{4 - 2}}

Subtract the numbers:

4 - 2 = 2

= \frac{9}{16 x ^{2}}

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Frequently Asked Questions (FAQ)

What is ((3x)/(4x^2))^2 ?
The solution to ((3x)/(4x^2))^2 is 9/(16x^2)