Question

How do you find the product `9^4*9^5`?

Answer 1

Use this rule of exponents: `x^color(red)(a) xx x^color(blue)(b) = x^(color(red)(a) + color(blue)(b))`

`9^color(red)(4) * 9^color(blue)(5) = 9^(color(red)(4) + color(blue)(5)) = 9^9`

Answer 2

`9^9`

Explanation:

When finding the product that contains indices, since it has the same base you simply add the indices together.

That is the multiplication law of indices.

`9^(4+5)` = `9^9`