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

Question

?(1 point)
Responses

4
4

12
12

108
108

81
81

Answer 1

To evaluate \( 27^{4/3} \), you can follow these steps:

1. Rewrite \( 27 \) in terms of its cube root: \[ 27^{4/3} = (27^{1/3})^4 \]

2. Since the cube root of 27 is 3: \[ 27^{1/3} = 3 \]

3. Now, substitute this value into the expression: \[ (27^{1/3})^4 = 3^4 \]

4. Calculate \( 3^4 \): \[ 3^4 = 3 \times 3 \times 3 \times 3 = 81 \]

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

The answer is 81.