What is simplify-(1/(-3sqrt(3)))^{1/3} ?

The solution to simplify-(1/(-3sqrt(3)))^{1/3} is 1/(3^{1/2)}

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simplify-(1/(-3sqrt(3)))^{1/3}

simplify

- (\frac{1}{- 3 3})^{\frac{1}{3}}

\frac{1}{3 ^{\frac{1}{2}}}

Solution steps

- (\frac{1}{- 3 3})^{\frac{1}{3}}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

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

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

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

= - \frac{1 ^{\frac{1}{3}}}{- 3 ^{\frac{1}{2}}}

- \frac{1 ^{\frac{1}{3}}}{- 3 ^{\frac{1}{2}}} = \frac{1}{3 ^{\frac{1}{2}}}

= \frac{1}{3 ^{\frac{1}{2}}}

x^{2} - 16 = - x^{2} + 16

\frac{48}{4}

\frac{( - 4 x ^{5} y ^{3} z ^{7} ) ^{3} ( - 3 x ^{2} y z ^{4} ) ^{2}}{( - 2 x ^{3} y ^{4} z ^{2} ) ^{4}}

- x^{3} + 6 x^{2}

\frac{\frac{a}{b}}{\frac{c}{d}}

What is simplify-(1/(-3sqrt(3)))^{1/3} ?
The solution to simplify-(1/(-3sqrt(3)))^{1/3} is 1/(3^{1/2)}