Learn How Much Is 8 To The Power Of 2 3

from a handpicked tutor in LIVE 1-to-1 classes

from a handpicked tutor in LIVE 1-to-1 classes

# How much is 8 to the power of 2/3?

Power, in exponents, is defined as the total number of times we use the number in a multiplication. For example, 2 to the power 3 means 2 is multiplied 3 times.

## Answer: 8 to the power of 2/3 is 4.

Let's see the solution step by step.

**Explanation:**

We have 8 to the power of 2/3 or 8^{(2/3)}.

First, we will rewrite 8 as 2^{3}.

8^{(2/3) = }2^{3}^{(2/3)}

We will apply the rules of exponents and multiply the exponents, (a^{m})^{n }= a^{mn}.

8^{(2/3) = }2^{3}^{(2/3) }= 2^{3 × (2/3)}

Now, we will cancel the common factor 3 which will result in 2^{2 }= 4

### Thus, 8 to the power of 2/3 is 4.

Math worksheets and

visual curriculum

visual curriculum