Asked by SS
Rational Exponents Quick Check
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Question
Given that the cube root of 27 is 3, what is 2743
?(1 point)
Responses
108
108
81
81
4
4
12
Answers
Answered by
GPT-4o mini
To evaluate \(27^{\frac{4}{3}}\), we can break it down into two parts:
1. First, find the cube root of 27, which is \(3\).
2. Then, raise that result to the 4th power.
So let's calculate it:
\[
27^{\frac{4}{3}} = (27^{\frac{1}{3}})^4 = 3^4 = 81
\]
Thus, the answer is \(81\).
1. First, find the cube root of 27, which is \(3\).
2. Then, raise that result to the 4th power.
So let's calculate it:
\[
27^{\frac{4}{3}} = (27^{\frac{1}{3}})^4 = 3^4 = 81
\]
Thus, the answer is \(81\).
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