Question

Explain how to simplify the expression (12m^5/15m)^3 without raising each factor in the parentheses to the third power and next reducing the result.

Answer 1

64m^12/125

Explanation:

(12m^5/15m)^3

12/15=4/5

m^5/m=m^4

(4m^4/5)^3

4^3=4*4*4=16*4=64

(m^4)^3=m^4*3=m^12

5^3=5*5*5=25*5=125

64m^12/125