Question

(3)power 6 into 5power 2
_____________________
9 power 2 into 5

Answer 1

${ \boxed{ \huge{ \mathtt{ \frac{ {3}^{6} \times {5}^{2} }{ {9}^{2} \times 5 } }}}} \\ \\ = > { \boxed{ \huge{ \mathtt{ \frac{ {3}^{6} \times {5}^{2} }{( { {3}^{2} )}^{2} \times {5}^{1} } }}}} \\ \\ = > { \boxed{ \huge{ \mathtt{ \frac{ {3}^{6} \times {5}^{2} }{ {3}^{4} \times {5}^{1} } }}}} \\ \\ = > { \boxed{ \huge{ \mathtt{ {3}^{6 - 4} \times {5}^{2 - 1} }}}} \\ \\ = > { \boxed{ \huge{ \mathtt{ {3}^{2} \times 5}}}} \\ \\ = > { \boxed{ \huge{ \mathtt{9 \times 5}}}} {{ \huge{ \mathtt{ { \red{\: \: = 45}}}}}}$