How do you write with fractional exponents $4 ({\sqrt{x}}^{3})$ $4(sqrt x^3)$ ?

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Answer 1 · 2015-06-04T00:46:18

Since $\sqrt{x}$ $sqrt x$ = $x^{\frac{1}{2}}$ $x^(1/2)$ ,

and since ${(x^{a})}^{b}$ $(x^a)^b$ = $x^{a \cdot b}$ $x^(a*b)$ ,

then $4 \sqrt{x^{3}}$ $4sqrt (x^3)$ = $4 {(x^{3})}^{\frac{1}{2}}$ $4(x^3)^(1/2)$ = $4 x^{\frac{3}{2}}$ $4x^(3/2)$ .

How do you write with fractional exponents 4(√x3)4(sqrt x^3)?