Question

Find the value of 3 to the power of 5 divided by 3 to the power of 5 minus 3 to the power of -2

Answer 1

Given Question,


$\frac{ {3}^{5} }{ {3}^{5} } - {3}^{ - 2}$
We know that
$\frac{ {a}^{b} }{ {a}^{c} } = {a}^{b - c}$
so clearly,

$\frac{ {3}^{5} }{ {3}^{5} } = {3}^{5 - 5} = {3}^{0} = 1$
So,
$\frac{ {3}^{5} }{ {3}^{5} } - {3}^{ - 2} \\ = > 1 - {3}^{ - 2} \\ = > 1 - \frac{1}{ {3 }^{2} } \\ = > 1 - \frac{1}{9} \\ \\ = > \frac{9 - 1}{9} \\ = > \frac{8}{9}$


Hence,. 8/9 is your answer


Hope it helps dear friend ☺️✌️