Evaluate 2 square root of x*4x^(-5/2)

$2 \sqrt{x} \cdot 4 x^{- \frac{5}{2}}$

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$2 \sqrt{x} \cdot (4 \frac{1}{x^{\frac{5}{2}}})$

Combine $4$ and $\frac{1}{x^{\frac{5}{2}}}$ .

$2 \sqrt{x} \cdot \frac{4}{x^{\frac{5}{2}}}$

Multiply $2 \sqrt{x} \frac{4}{x^{\frac{5}{2}}}$ .

Combine $\frac{4}{x^{\frac{5}{2}}}$ and $2$ .

$\frac{4 \cdot 2}{x^{\frac{5}{2}}} \sqrt{x}$

Multiply $4$ by $2$ .

$\frac{8}{x^{\frac{5}{2}}} \sqrt{x}$

Combine $\frac{8}{x^{\frac{5}{2}}}$ and $\sqrt{x}$ .

$\frac{8 \sqrt{x}}{x^{\frac{5}{2}}}$