Question

a)(7²)³
_____
(7³)²

b) (3 · 5²)³
______
(3² · 5)²

Answer 1

$a)( { {7}^{2}) }^{3} = {7}^{2 \times 3} = {7}^{6} \\ b)( { {7}^{3} )}^{2} = {7}^{3 \times 2} = {7}^{6} \\ c)( {3 \times {5}^{2} )}^{3} = {3}^{3} \times {5}^{6} \\ d)( { {3}^{2} \times 5)}^{2} = {3}^{4} \times {5}^{2}$