Question

Which is equivalent to 64 1/4

a.2^4 (Square root of 4)
b.4
c.16
d.16^4(Square root of 4)

Answer 1

It A i just took the quiz and got it but fail 

Answer 2

Option (a) is correct.

`(64)^(1)/(4)=2\sqrt[4]{4}`

Explanation:

Given : Expression
`(64)^(1)/(4)`

We have to choose an equivalent expression to the given expression
`(64)^(1)/(4)`

Consider the given expression
`(64)^(1)/(4)`

64 can be written as 2 × 2 × 2 × 2 × 2× 2 =
`2^6`

Thus, The given expression becomes,

`(64)^(1)/(4)=(2^6)^(1)/(4)`

Also,
`2^6=2^4\cdot2^2`

Thus,

`(2^6)^(1)/(4)=(2^4\cdot 2^2)^(1)/(4)`

Simplify, we have,

`=2\sqrt[4]{4}`

Thus,
`(64)^(1)/(4)=2\sqrt[4]{4}`