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

Apr 19, 2017

Use this rule of exponents: ${x}^{\textcolor{red}{a}} \times {x}^{\textcolor{b l u e}{b}} = {x}^{\textcolor{red}{a} + \textcolor{b l u e}{b}}$

${9}^{\textcolor{red}{4}} \cdot {9}^{\textcolor{b l u e}{5}} = {9}^{\textcolor{red}{4} + \textcolor{b l u e}{5}} = {9}^{9}$

Apr 19, 2017

${9}^{9}$

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.

${9}^{4 + 5}$ = ${9}^{9}$