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Popular >

simplify (4x)^{-2}x^4

Solution

simplify

(4 x)^{- 2} x^{4}

Solution

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

Solution steps

(4 x)^{- 2} x^{4}

Simplify

(4 x)^{- 2} : \frac{1}{16 x ^{2}}

= \frac{1}{16 x ^{2}} x^{4}

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot x ^{4}}{16 x ^{2}}

Apply rule:

1 \cdot a = a

1 \cdot x^{4} = x^{4}

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

What is (4x)^{-2}x^4 ?
The solution to (4x)^{-2}x^4 is (x^2)/(16)