Write as a single power. Express answers with posative exponents.

[(-8)^6]^-2

------------

[(-8)^-4]^3

If anyone could help I would greatly appreciate it.

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- Jan 27th 2008, 05:18 PMAerilliousHelp needed
Write as a single power. Express answers with posative exponents.

[(-8)^6]^-2

------------

[(-8)^-4]^3

If anyone could help I would greatly appreciate it. - Jan 27th 2008, 05:27 PMJhevon
$\displaystyle \frac {\left[ (-8)^6 \right]^{-2} }{\left[ (-8)^{-4} \right]^3} = \frac {(-8)^{-12}}{(-8)^{-12}}$ .............since $\displaystyle (x^a)^b = x^{ab}$

so this is just $\displaystyle 1$

i hate questions that have answers like that, it cuts the teaching lesson short. we didn't even get to use the fact that $\displaystyle \frac {x^a}{x^b} = x^{a - b}$