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.

Question

Xiomara

Mathematics

20 December, 04:25

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.

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Answers (1)

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Alina Howell · Answer 1

64m^12/125

Step-by-step 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