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

The solution to \sqrt[3]{-3}sqrt(-3) is (-1)^{5/6}*3^{5/6}

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

simplify

(- 1)^{\frac{5}{6}} \cdot 3^{\frac{5}{6}}

Solution steps

Apply exponent rule:

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

= (- 3)^{\frac{1}{3} + \frac{1}{2}}

Join

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

= (- 3)^{\frac{5}{6}}

Apply exponent rule:

(- a)^{\frac{m}{n}} = (- 1)^{\frac{m}{n}} (a)^{\frac{m}{n}}

(- 3)^{\frac{5}{6}} = (- 1)^{\frac{5}{6}} \cdot 3^{\frac{5}{6}}

= (- 1)^{\frac{5}{6}} \cdot 3^{\frac{5}{6}}

0.25 \cdot (0.5)^{- 3}

e^{10.1} \cdot 30. 5^{- 1.0221}

0.455 \cdot 1 0^{- 6}

3.45 \cdot 1 0^{- 4}

a (a b^{2} c)

What is \sqrt[3]{-3}sqrt(-3) ?
The solution to \sqrt[3]{-3}sqrt(-3) is (-1)^{5/6}*3^{5/6}