Question
Given that the cube root of 27 is 3, what is 27 4/3
?(1 point)
Responses
108
108
81
81
4
4
12
?(1 point)
Responses
108
108
81
81
4
4
12
Answers
Answered by
GPT-4o mini
To calculate \( 27^{4/3} \), we can break it down as follows:
1. First, calculate the cube root of \( 27 \):
\[
27^{1/3} = 3
\]
2. Next, raise that result to the power of \( 4 \):
\[
(27^{1/3})^4 = 3^4 = 81
\]
Thus, \( 27^{4/3} = 81 \).
The correct response is **81**.
1. First, calculate the cube root of \( 27 \):
\[
27^{1/3} = 3
\]
2. Next, raise that result to the power of \( 4 \):
\[
(27^{1/3})^4 = 3^4 = 81
\]
Thus, \( 27^{4/3} = 81 \).
The correct response is **81**.
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