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Popular >

simplify ((2x^{1/2})^3)/(4x^2)

Solution

simplify

\frac{( 2 x ^{\frac{1}{2}} ) ^{3}}{4 x ^{2}}

Solution

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

Solution steps

\frac{( 2 x ^{\frac{1}{2}} ) ^{3}}{4 x ^{2}}

Simplify

(2 x^{\frac{1}{2}})^{3} : 2^{3} x^{\frac{3}{2}}

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

Factor the number:

4 = 2^{2}

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

\frac{2 ^{3}}{2 ^{2}} = 2

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

Simplify

\frac{x ^{\frac{3}{2}}}{x ^{2}} : \frac{1}{x ^{\frac{1}{2}}}

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

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Frequently Asked Questions (FAQ)

What is ((2x^{1/2})^3)/(4x^2) ?
The solution to ((2x^{1/2})^3)/(4x^2) is 2/(x^{1/2)}