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 Question from Will: -2/3 to the -6 power

Hi Will,

A negative power has a special meaning. If $n$ and $k$ are both numbers then

$k^{-n} = \left( \frac{1}{k}\right)^{n}.$

For example

$6^{-2} = \left(\frac{1}{6}\right)^2 = \frac{1^2}{6^2} = \frac{1}{36}.$

$\left(\frac{-2}{3}\right)^{-6} = \left(\frac{1}{\frac{-2}{3}}\right)^{6}.$

Can you simplify this expression?

Write back if you need more assistance,
Penny

Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.