Question

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

Answer 1

Answer:

Step-by-step 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.

$(\frac{1}{4})^3 = \frac{1^3}{4^3}$

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

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

Hope this helps