Question

Show your work for the right answer

a^5 * a^4 / a^2

I do know that the answer is a^7 but I don't remember how to show my work to get the answer​

Answer 1

= a^7

Explanation:

Given in the question,

a^5 * a^4 / a²

To find,

show working

Explanation

As we know that to divide exponents (or powers) with the same base, we subtract the exponents. Division is the opposite of multiplication, so when multiplying the exponents (or powers) with the same base add the exponents.

Working

a^5 * a^4 / a²

= a^(5 + 4) / a² (Multiplying)

= a^9 / a²

= a^(9 - 2) (Dividing)

= a^7

hence shown