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

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

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

simplify

Solution steps

Simplify

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

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

Apply exponent rule:

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

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

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

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

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

(\frac{5}{8})^{2}

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

3 e^{- t}

1.35 (3) e^{- 2.802 (3)}

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