# How do you write with fractional exponents 4(sqrt x^3)?

Since $\sqrt{x}$ = ${x}^{\frac{1}{2}}$,
and since ${\left({x}^{a}\right)}^{b}$ = ${x}^{a \cdot b}$,
then $4 \sqrt{{x}^{3}}$ = $4 {\left({x}^{3}\right)}^{\frac{1}{2}}$ = $4 {x}^{\frac{3}{2}}$.