## lesliemolina Group Title 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 5 months ago 5 months ago

1. satellite73 Group Title

$4^{\frac{2}{3}}=\sqrt[3]{4^2}$

2. satellite73 Group Title

since $$4^2=16$$ it is also $$\sqrt[3]{16}$$

3. sleung Group Title

$4^{2/3}=(4^{1/3})^{2}=(\sqrt{2})^{2}=2$

4. sleung Group Title

Therefore, 2 is the square root of 4.