Question

Choose the correct simplification of the expression a^9b^10/a^2b^7

Answer 1

Answer: a^7 b^17

Explanation:

Simplify the following:

(a^9 b^10 b^7)/a^2

Combine powers. (a^9 b^10 b^7)/a^2 = a^(9 - 2) b^(10 + 7):

a^(9 - 2) b^(10 + 7)

9 - 2 = 7:

a^7 b^(10 + 7)

10 + 7 = 17:

Answer: a^7 b^17