Question

Simplify the expression.

Answer 1

Answer:

option d

Step-by-step explanation:

$\sf \boxed{a^m*a^n = a^{m+n}\\\\}$

$\sf \left(\frac{m^{-1}m^{5}}{m^{-2}} \right)^{-3} =\left(\dfrac{m^{-1+5}}{m^{-2}}\right)^{-3}$

                 $\sf = \left(\dfrac{m^4}{m^{-2}}\right)^{-3}$

$\boxed{\dfrac{a^{m}}{a^{n}}=a^{m+n}}$

                    $\sf = \left(m^{4-[-2]}\right)^{-3}\\\\ =\left(m^{4+2}\right)^{-3}\\\\ = \left(m^6\right)^{-3}$

$\boxed{(a^{m})^n=a^{m*n}}$

                    $\sf= m^{6*(-3)}\\\\ = m^{-18}$

$\boxed{a^{-m}=\dfrac{1}{a^m}}$

                    $\sf=\dfrac{1}{m^{18}}$