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Popular >

simplify (4x)^{-1/2}

Solution

simplify

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

Solution

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

Solution steps

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

Apply exponent rule:

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

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

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

Simplify

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

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

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Frequently Asked Questions (FAQ)

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