What is (sqrt(x))^3*1/(2sqrt(x)) ?

The solution to (sqrt(x))^3*1/(2sqrt(x)) is x/2

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simplify (sqrt(x))^3*1/(2sqrt(x))

simplify

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

\frac{x}{2}

Solution steps

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

Simplify

(x)^{3} : x x

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

Apply the fraction rule:

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

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

Apply rule:

a \cdot 1 = a

x x \cdot 1 = x x

= \frac{x x}{2 x}

Cancel the common factor:

x

= \frac{x}{2}

(\frac{4}{e ^{2}})^{- \frac{3}{2}}

(x^{2} y) (4 x y^{3})

600 e^{- 0.032 (6)}

600 e^{- 0.032 (8)}

What is (sqrt(x))^3*1/(2sqrt(x)) ?
The solution to (sqrt(x))^3*1/(2sqrt(x)) is x/2