Given that the cube root of 27 is 3, what is 2743

Question

?(1 point)
Responses

81
81

12
12

4
4

108
108

Answer 1

To find \( 2743 \), we can respect the format by recognizing it as \( 27^{4/3} \).

Using the given that the cube root of \( 27 \) is \( 3 \):

1. Calculate \( 27^{1/3} = 3 \).
2. Find \( 27^{4/3} \) by raising the cube root to the fourth power: \[ 27^{4/3} = (27^{1/3})^4 = 3^4 = 81 \]

Thus, \( 2743 = 81 \).

The correct response is 81.