What is \sqrt[4]{(xyz)^2}*\sqrt[5]{xyz} ?

The solution to \sqrt[4]{(xyz)^2}*\sqrt[5]{xyz} is (xyz)^{7/10}

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simplify \sqrt[4]{(xyz)^2}*\sqrt[5]{xyz}

simplify

(x yz)^{\frac{7}{10}}

Solution steps

Apply exponent rule:

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

= (x yz)^{\frac{1}{2} + \frac{1}{5}}

Join

\frac{1}{2} + \frac{1}{5} : \frac{7}{10}

= (x yz)^{\frac{7}{10}}

(8 \cdot 1 0^{- 3}) \cdot (0.0002)

(2.3 \cdot 1 0^{- 2}) \cdot 92

(e^{\frac{2 x}{3}}) (e^{- x})

- 0.9 e^{- \frac{j ^{3} π}{4}} \cdot (- 0.9) e^{\frac{j ^{3} π}{4}}

\frac{1}{2} (0.1 \cdot 1 0^{- 6}) (3300)^{2}

What is \sqrt[4]{(xyz)^2}*\sqrt[5]{xyz} ?
The solution to \sqrt[4]{(xyz)^2}*\sqrt[5]{xyz} is (xyz)^{7/10}