What is \sqrt[3]{x}\times sqrt(x) ?

The solution to \sqrt[3]{x}\times sqrt(x) is \sqrt[6]{x^5}

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simplify \sqrt[3]{x}\times sqrt(x)

simplify

Solution steps

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

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

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

x^{\frac{1}{3}} x^{\frac{1}{2}} = x^{\frac{1}{3} + \frac{1}{2}}

= x^{\frac{1}{3} + \frac{1}{2}}

\frac{1}{3} + \frac{1}{2} = \frac{5}{6}

= x^{\frac{5}{6}}

s^{2} (s - 2)^{2}

(7 + 5) (7 + 5)

\frac{- 63}{7}

(x - 2)^{2} (x - 3)^{2}

What is \sqrt[3]{x}\times sqrt(x) ?
The solution to \sqrt[3]{x}\times sqrt(x) is \sqrt[6]{x^5}