Question

What is 3 to the power of 2 over 3 equal to?

a.) cube root of 9
b.) square root of 9
c.) cube root of 27
d.) square root of 27

Answer 1

I got A

Answer 2

\[ 3^\frac{2}{3}\]

Answer 3

you can use this idea
\[ a^{bc} = \left(a^b\right)^c\]
to write it as either
\[ \left(3^\frac{1}{3}\right)^2 \]
That means the square of the cube root of 3
or \[ \left(3^2\right)^\frac{1}{3} \]
if we write 3^2 as 9 , then that is also
\[ 9^\frac{1}{3} \]
the cube root of 9

Answer 4

@phi okay so I was right thank you!

Answer 5

Yes, you are right. But anyone looking at this problem might want to see how to do it.

Answer 6

@Phi I understand that