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Popular Calculus >

simplify (4x)^{-2x}

Solution

simplify

(4 x)^{- 2 x}

Solution

\frac{1}{1 6 ^{x} x ^{2 x}}

Solution steps

(4 x)^{- 2 x}

Apply exponent rule:

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

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

= \frac{1}{( 4 x ) ^{2 x}}

Simplify

(4 x)^{2 x} : 1 6^{x} x^{2 x}

= \frac{1}{1 6 ^{x} x ^{2 x}}

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Frequently Asked Questions (FAQ)

What is (4x)^{-2x} ?
The solution to (4x)^{-2x} is 1/(16^xx^{2x)}