Question

Simplify the following, applying $(a^{m})^{n} =a^{m*n}: (p^{q})^{r}$

Answer 1

hope this helps.......

Answer 2

Solution:

$(a^{m})^{n} =a^{m \times n} \\ \\ is \: the \: law \: of \: exponent \\ \\ by \: this \: way \\ \\ (p^{q})^{r} = {p}^{q \times r} \\ \\ so \\ \\ (a^{m})^{n} =a^{m \times n} : (p^{q})^{r} = {p}^{q \times r}$
for example

$({ {2}^{3}) }^{2} = {2}^{6} = 64 \\ \\ {2}^{(3 \times 2)} = {2}^{6} = 64$
hope it helps you.