What is \sqrt[10]{x}*\sqrt[5]{x^2}*sqrt(x) ?

The solution to \sqrt[10]{x}*\sqrt[5]{x^2}*sqrt(x) is \sqrt[5]{x^3}\sqrt[5]{x^2}

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simplify \sqrt[10]{x}\sqrt[5]{x^2}sqrt(x)

simplify

Solution steps

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

Apply exponent rule:

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

x^{\frac{1}{10}} x^{\frac{1}{2}} = x^{\frac{1}{10} + \frac{1}{2}}

\frac{1}{10} + \frac{1}{2} = \frac{3}{5}

4. 1^{- 3} \times 3. 1^{5}

e^{- a x} \cdot e^{- a x}

2 2^{4}

[(- \frac{1}{4}) \cdot 5 \cdot (- \frac{3}{2}) \cdot (- \frac{1}{5})]^{- 4}

What is \sqrt[10]{x}*\sqrt[5]{x^2}*sqrt(x) ?
The solution to \sqrt[10]{x}*\sqrt[5]{x^2}*sqrt(x) is \sqrt[5]{x^3}\sqrt[5]{x^2}