Question

(1/4)^3 evaluate simplify

Answer 1

Multiple 1/4 by itself 3 times. (SHOWED WORK IN PHOTO)

Answer 2

`(1)/(64)`

Explanation:

This is an Exponent. It is when a number is being multiplied as many times as the Exponent on top.

`\left((1)/(4)\right)^3` The ³ is the exponent,

`(1)/(4) *(1)/(4) *(1)/(4)` is the expansion, and

Multiply on top: 1 × 1 × 1 = 1

Multiply the bottom: 4 × 4 = 16. 16 × 4 = 64

Hence,
`(1)/(64)` is the product or simplified form.

Another way:

`\underline{\mathrm{Exponent\:rule\:}}\left((a)/(b)\right)^c=(a^c)/(b^c)`

`\left((1)/(4)\right)^3`

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

`1^3=1`

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

`4^3=64`

`=(1)/(64)`