Question

I need help please :(

Answer 1

7²

`\frac{ {7}^( - 3) }{ {7}^( - 5) } = \\ {7}^( - 3 - ( - 5)) = \\ {7}^( - 3 + 5) = {?}^(2)`

Answer 2

The answer is option 1.

Explanation:

You have to apply Indices Law :

`\frac{ {a}^(m) }{ {a}^(n) } ⇒ {a}^(m - n)`

So for this question,

`\frac{ {7}^( - 3) }{ {7}^( - 5) } = {7}^( - 3 - ( - 5)) = {7}^( - 3 + 5) = {7}^(2)`