How do you simplify $[{(- 3 \times 3^{\frac{1}{2}})}^{- \frac{1}{3}}]$ $[(-3 times 3^(1/2))^(-1/3)]$ ?

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Answer 1 · 2016-06-30T17:13:05

$- \frac{i}{3}$ $-i/3$

${(x^{a})}^{b} = x^{a \cdot b}$ $(x^a)^b = x^(a * b)$

and

$(x^{a}) \cdot (x^{b}) = x^{a + b}$ $(x^a) * (x^b) = x^(a + b)$

and

$x^{- a} = \frac{1}{x^{a}}$ $x^(-a) = 1/(x^a)$

So:

How do you simplify [(-3 times 3^(1/2))^(-1/3)][(−3×312)−13][(-3 times 3^(1/2))^(-1/3)]?