Question

Simplify (-6^1/3)^(-2)=

Answer 1

For this case we must simplify the following expression:

(
`(-6 ^ {\frac {1} {3}}) ^ {- 2}`

So, by definition of power properties we have:

`a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}`

Then, rewriting the expression:

`\frac {1} {(- 6 ^ {\frac {1} {3}}) ^ 2} =\\\frac {1} {(- 6 ^ {\frac {1} {3}}) * (- 6 ^ {\frac {1} {3}})} =\\\frac {1} {(6 ^ {\frac {1} {3}}) * (6 ^ {\frac {1} {3}})} =\\\frac {1} {6 ^ {\frac {2} {3}}}`

ANswer:

`\frac {1} {6 ^ {\frac {2} {3}}}`