# Find the value of 8^1/3

## Answers

8 to the power of 1 over 3 equals 2 to the power of 3 whole to the power of 1 over 3 equals 2 to the power of 3 multiplied by 1 over 3 equals 2

Step-by-step explanation:

Options are below

8 to the power of 1 over 3 equals 4 to the power of 3 whole to the power of 1 over 3 equals 4 to the power of 3 multiplied by 1 over 3 equals 4

8 to the power of 1 over 3 equals 2 to the power of 3 whole to the power of 1 over 3 equals 2 to the power of 3 multiplied by 1 over 3 equals 2

8 to the power of 1 over 3 equals 2 to the power of 4 whole to the power of 1 over 3 equals 2 to the power of 4 multiplied by 1 over 3 equals 16

16 to the power of 1 over 4 equals 8 to the power of 2 whole to the power of 1 over 4 equals 8 to the power of 2 multiplied by 1 over 4 equals 8

Given:

8^1/3

if a power is raised to a power, we simplify it by multiplying the exponents; this will create a whole number exponent

if 8 can be rewritten as a number to the 3rd power.

We have

8 = 2*2*2 = 2³

Therefore,

8^1/3=(2^3)^1/3

=2^3×1/3

=2^3/3

=2^1

=2

a.2.67

b.5.33

c.12

I hope it helps!

First step: convert mixed number 8 1/3 to fraction 25/3

second step:divide 25 by 3 to find the value 25/3 = 8.33333

[tex]2\frac{2}{3}[/tex]

Step-by-step explanation:

Find 1/3 of 8: [tex]\frac{1}{3}[/tex] × [tex]\frac{8}{1} = 2\frac{2}{3}[/tex]I hope this helps!

The answer is [tex]\frac{8}{3}[/tex]or [tex]2\frac{2}{3}[/tex]