Question

Evaluate. Write your answer as a fraction or whole number.
Submit

Answer 1

Explanation:

Distribute the exponent

You have 1/4 and you have a parenthesis with an exponent outside of it, this means you distrubute the exponent to both the top and the bottom.

`((1)/(4))^3 = (1^3)/(4^3)`

Factoring out exponents

Now let's factor out the exponents

1 x 1 x 1 = 1 (One times itself is always one.)

4 x 4 = 16

16 x 4 = 64

(4x4) x 4 = 4 x 4 x 4 =
`4^3`

so therefore,

`4^3` = 64

Which means

`((1^)/(4))^3 = \frac {1}{64}`

Hope this helps