Question

1) Which of the following shows the correct steps to find the value of 27 1/3?

A) 27 1/3=(9^3)1/3=(9)^3(1/3)=9
B) 27 1/3=(3^9)^1/3=(3)^9(1/3)=3
C) 27 1/3=(3^4)1/2=(3)^4(1/2)=9
D) 27 1/3=(3^3)^1/3=(3)^3(1/3)=3

Answer 1

The answer is D

Explanation:

Answer 2

First of all, we need to know: 3^3 = 3 x 3 x 3 = 9 x 3 = 27

So:


`(27)^{(1)/(3)} = (3^3)^{(1)/(3)} = (3)^{3* (1)/(3)} = 3^(1) = 3`

So, your answer is D.