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

Solution:

Given that: Two to the power of 2 over 3

Using Law of Power of a Power:

(a^m)ⁿ = a^mn

We can write the given expression in exponent form as:

2^2/3 = (2²)^1/3

= ∛2²

= ∛4

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 2 to the power of 2 over 3?

Summary:

2 to the power of 2 over 3 is ∛4. Cube root of 4 best defines 2 to the power of 2 over 3