Question

help simplifying

Answer 1

Let's simplify within the parentheses first. What is m^-1 times m^5?

Answer 2

m^-1

Answer 3

i meant -5

Answer 4

\[m ^{-1}\times m ^{5}=m ^{-1+5}=m ^{4}\]

Answer 5

So now we have:
\[(\frac{m^4}{m ^{-2}})^{-3}\]

Answer 6

Since it is division, we should subtract the exponents:
\[(\frac{m ^{4}}{m ^{-2}})^{-3}=(m ^{4-(-2)})^{-3}=(m ^{6})^{-3}=m ^{-18}=\frac{1}{m ^{18}}\]