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

?(1 point)
Responses

4
4

12
12

108
108

81
81

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

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**.