Question

Which is equivalent to 64 to the 1/4 power

Answer 1

The answer to your question is the first option

Explanation:

64
`^(1/4)`

Process

1.- Find the prime factors of 64

64 2

32 2

16 2

8 2

4 2

2 2

1

64 = 2⁶

2.- Express 64 as a fractional exponent

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

3.- Simplify

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

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

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

4.- Result

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