5⁴ x 5⁶ can be written as (5 x 5 x 5 x 5) x (5 x 5 x 5 x5 x 5 x 5)

Notice we have 4 fives in the first bracket and 6 fives in the second bracket, so altogether we will have 4 + 6 = 10 fives multiplied together. So we can rewrite the equation as the following:

5⁴ x 5⁶ = 5⁴⁺⁶ = 5¹⁰

Example

Now let’s go over an example of how to divide two exponents with the same base.

Let’s divide 4⁵ by 4²

So we have 4⁵ / 4² = (4 x 4 x 4 x 4 x4) / (4 x 4)

If we cancel out two top ours with the two bottom fours we get:

= 4³
= 6⁴