What is the correct simplification of 64 4 /3

Question

?(1 point)
Responses

16
16

256
256

85.3
85.3

4,096

Answer 1

To simplify \(64^{4/3}\), we can break it down as follows:

1. Calculate the cube root of 64: \[ 64 = 4^3 \implies \sqrt[3]{64} = 4 \]

2. Raise the result to the power of 4: \[ 4^4 = 256 \]

Therefore, the correct simplification of \(64^{4/3}\) is 256.

So the answer is: 256