Question

Evaluate 8 to the 2 thirds power
A.64
B.5
C.4
D.262,144

Answer 1

\[8^\frac{2}{3} =(8^\frac{1}{3})^2\]
what is the cube root of 8?

Answer 2

or what number can you cubed that will give you 8?

Answer 3

\[\text{ ? }^3=8\]
what goes in place of the ?

Answer 4

2?

Answer 5

\[2^3=8 \\ \text{ so } 2=8^\frac{1}{3} \\ 8^\frac{1}{3}=2 \]

Answer 6

\[8^\frac{2}{3}=(8^\frac{1}{3})^2=(2)^2\]
can you finish from here?

Answer 7

4

Answer 8

right