Question

Which of the following expressions is equal to 1 divided by 16?

(1/2)4
(1/4)4
(1/2)2

Answer 1

`((1)/(2))^(4)=(1)/(16)`

Answer 2

Out of given options only (1) is equivalent to given expression.

`(1)/(16)=((1)/(2))^4`

Explanation:

Given: expression 1 divided by 16.

We have to choose an equivalent fraction for the given fraction.

Consider the given expression 1 divided by 16 mathematically written
`(1)/(16)`

We will evaluate the given options and check which one will give same fraction.

1)
`((1)/(2))^4`

We can write it as
`(1)/(2^4)=(1)/(16)`

2)
`((1)/(4))^4`

We can write it as
`(1)/(4^4)=(1)/(256)`

3)
`((1)/(2))^2`

We can write it as
`(1)/(2^2)=(1)/(4)`

Thus, out of given options only (1) is equivalent to given expression.

`(1)/(16)=((1)/(2))^4`