Quotient of Powers

Quotient of Powers

How to solve the quotient of powers problems: examples and their solutions.

Example 1

Simplify the given expression. (x is not equal to 0) (x^8)/(x^3)

28 × 23 = 28/23

3 of 2-s are cancelled.
And, 8 - 3, 5 of 2-s are remained.

So 28 ÷ 23 = 28 - 3.

Example 2

Simplify the given expression. (a, b, c are not equal to 0) (12(a^7)(b^2)(c^9))/(4(a^4)(b^2)(c^5))

b0 = 1: Zero exponent