What is \sqrt[4]{z}*\sqrt[5]{z}*\sqrt[10]{z^3} ?

The solution to \sqrt[4]{z}*\sqrt[5]{z}*\sqrt[10]{z^3} is \sqrt[20]{z^9}\sqrt[10]{z^3}

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simplify \sqrt[4]{z}\sqrt[5]{z}\sqrt[10]{z^3}

simplify

Solution steps

Apply exponent rule:

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

z^{\frac{1}{4}} z^{\frac{1}{5}} = z^{\frac{1}{4} + \frac{1}{5}}

\frac{1}{4} + \frac{1}{5} = \frac{9}{20}

e^{- 4.8}

(z - 1)^{4} (z + 1)^{4}

(6 \cdot 1 0^{- 7}) (- 6 \cdot 1 0^{- 4})

What is \sqrt[4]{z}*\sqrt[5]{z}*\sqrt[10]{z^3} ?
The solution to \sqrt[4]{z}*\sqrt[5]{z}*\sqrt[10]{z^3} is \sqrt[20]{z^9}\sqrt[10]{z^3}