Which of the following best defines 4 to the power of 2 over 3?
Square root of 16
Cube root of 4
Square root of 4
Cube root of 16.

Solution:

Given 4 to the power of 2 over 3

We can express in exponent form as:

 4^(2/3)

= ∛(4²), cube root of 4 square

= ∛16, cube root of 16

Note:

To find the cube root of any number we need to find a number which when multiplied three times by itself gives the original number.

Similarly, to find the square root of any number, we need to find a number which when multiplied twice by itself gives the original number.

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

Summary:

4 to the power of 2 over 3 is best defined by Cube root of 16