Given that the cube root of 27 is 3, what is 27 4/3 ? (1 point)

Question

Responses

108

12

81

4

Answer 1

To find \( 27^{4/3} \), we can break it down into two steps using the property of exponents:

1. Find the cube root: \( 27^{1/3} = 3 \)
2. Raise the result to the 4th power: \( (27^{1/3})^4 = 3^4 = 81 \)

Thus, \( 27^{4/3} = 81 \).

So the correct response is 81.