Question

How do you solve this?

Answer 1

The answer is

`{13}^(3)`

Explanation:

`( {13})^(2)( {13})^( - 4) ( {13})^(5)`

To solve the expression , use the rules of indices

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

That's

`{a}^(x) * {a}^(y) * {a}^(z) = {a}^(x + y + z)`

So we have

`( {13})^(2)( {13})^( - 4) ( {13})^(5) = {13}^(2 - 4 + 5) \\ = {13}^( - 2 + 5)`

We have the final answer as

`{13}^(3)`

Hope this helps you