What is (4x^2)/(2x^{1/2)} ?

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

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

simplify

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

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

Solution steps

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

Factor the number:

4 = 2 \cdot 2

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

Cancel the common factor:

2

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

Simplify

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

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

\frac{36}{40}

- \frac{1}{4} \cdot (- 4)

\frac{1}{s} + \frac{1}{s ^{2}}

\frac{7}{4 x} + \frac{3}{7 x}

(- 1)^{- \frac{1}{3}}