Question

I need help with this question badly

Answer 1

Explanation:

`{9}^( - 53) . {9}^(37)`

To solve this question we use the rules of indices

Since the bases are the same and are multiplying we add the exponents using the formula

`{a}^(b) * {a}^(c) = {a}^(b + c)`

So for the above question we have

`{9}^( - 53) * {9}^(37) = {9}^( - 53 + 37)`

We have the final answer as

`{9}^( - 16)`

Which is the same as

`\frac{1}{ {9}^(16) }`

Hope this helps you