Question

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

Answer 1

So the expression written numerically is $2^\frac{2}{3}$.

Remember that the rule from fractional exponents to radicals is $x^\frac{m}{n}=\sqrt[n]{x^m}$ . In this case, the radical form of our equation would be: $\sqrt[3]{2^2}=\sqrt[3]{4}$ , or A.

Answer 2

It is A) the cube root of 4. If 1/3 is in the power, that means that it can be turned into a cube root. Since it is 2/3 that is in the power, you can use that 2 at the top to be a square. Therefore you would get the cube root of 2 squared, or the cube root of 4