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

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

So:

$(27)^{\frac{1}{3}} = (3^3)^{\frac{1}{3}} = (3)^{3\times \frac{1}{3}} = 3^{1} = 3$

So, your answer is D.

Answer 2

Answer:

The answer is D

Step-by-step explanation: