# How do you simplify (2m^5g^11)^6?

$64 \cdot {m}^{30} \cdot {g}^{66}$
$\textcolor{red}{\left(1\right) {\left(M \cdot N\right)}^{Z} = {M}^{Z} \cdot {N}^{Z}}$
$\textcolor{red}{\left(2\right) {\left({A}^{M}\right)}^{N} = {A}^{M N}}$
${\left(2 {m}^{5} {g}^{11}\right)}^{6} = {\left(2\right)}^{6} \cdot {\left({m}^{5}\right)}^{6} \cdot {\left({g}^{11}\right)}^{6} ,$ $\textcolor{b l u e}{\left[A p p l y : \left(1\right)\right]}$
${\left(2 {m}^{5} {g}^{11}\right)}^{6} = 64 \cdot {m}^{30} \cdot {g}^{66} ,$ $\textcolor{b l u e}{\left[A p p l y : \left(2\right)\right]}$