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Popular >

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

Solution

simplify

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

Solution

9

Solution steps

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

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(2 x)^{2} = 2^{2} x^{2}

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

Factor the number:

4 = 2^{2}

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

Cancel the common factor:

2^{2}

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

Simplify

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

= 9

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Frequently Asked Questions (FAQ)

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