Question

#54 Simplify and write the answers using positive exponents only.

Answer 1

Gg easy

remember
(x^m)/(x^n)=x^(m-n)
and
(x^m)^n=x^(mn)
and
(xyz)^m=(x^m)(y^m)(z^m)
and
(m/n)^a=(m^a)/(n^a)
and
x^-n=1/(x^n)

so
$( \frac{6mn^{-2}}{3m^{-1}n^2} )^{-3}$=
$( \frac{6}{3} )^{-3}( \frac{m}{m^{-1}} )^{-3}( \frac{n^{-2}}{n^2} )^{-3}$=
$(2^{-3})((m^2)^{-3})((n^{-4})^{-3})$=
$( \frac{1}{2^3})(m^{-6})(n^{12})$=
$( \frac{1}{8} )( \frac{1}{m^6})(n^{12})$=
$\frac{n^{12}}{8m^6}$