Question

Write (8a^-6)^-2/3 in simplest form

Answer 1

you have two jobs
one is to find \[8^{-\frac{2}{3}}\] and the other is to multiply \(6\times -\frac{2}{3}\)
second job is easy enough
do you know how to do the first one?

Answer 2

\[\huge x^{-n} = \frac{ 1 }{ x^n } ~~\text{and}~~ x^{m/n} = \sqrt[n]{x^m}\]

Answer 3

oops typo there
second is to find \[-6\times -\frac{2}{3}\]

Answer 4

\[\huge (x^m)^n = x^{m*n}\]
this rule as well will help simplify it as well.

Answer 5

i don't know the first one

Answer 6

@satellite73

Answer 7

\[\huge (8a^{-6})^{-2/3} = 8^{-2/3} * a^{-6*\frac{ -2 }{ 3 }}\]

Answer 8

Do that first.

Answer 9

k