Question

Which of the following best defines 4 to the power of 2 over 3?

Answer 1

The numerical value of 4 to the power of 2 over 3 is approximately 2.52.

Explanation:

4 to the power of 2 over 3 can be written as
`4^(2/3)`

`4^(2/3)` can be written as
`\sqrt[3]{4^2} =\sqrt[3]{16}=2.519=2.52`

So the numerical value of 4 to the power of 2 over 3 is approximately 2.52.

Answer 2

The word power means that the number given is raised to the exponent of the fraction given. From the given, the mathematical expression is,
4^2/3
The numerical value of the expression is approximately equal to 2.52.