Question

What is the simplified form of the expression?
(m^-1 m^5 / m^-2)^-3
A. 3M^4/M^-2
B. 1/M^18
C. M^18
D. -M^216

Answer 1

\[\Large (\frac{m^{-1} m^5}{m^{-2}})^{-3} \implies (\frac{m^{-1+5}}{m^{-2}})^{-3}\]
\[\Large \implies (\frac{m^4}{m^{-2}})^{-3} \implies (m^{4 - (-2)})^{-3} \implies (m^{4 +2})^{-3} \]
\[\Large \implies (m^6)^{-3} \implies m^{-18} \implies \frac{1}{m^{18}}\]
finally one of your options match p

Answer 2

i hope you udnerstood my solution though

Answer 3

yes i did thanks