Answer:
The answer to your question is the first option
Step-by-step explanation:
64[tex]^{1/4}[/tex]
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[tex]^{1/4} = 2^{6/4}[/tex]
3.- Simplify
64[tex]^{1/4} = 2^{4/4} 2^{2/4}[/tex]
64[tex]^{1/4} = 2^{1} 2^{2/4}[/tex]
64[tex]^{1/4} = 2\sqrt[4]{2^{2}}[/tex]
4.- Result
64[tex]^{1/4} = 2\sqrt[4]{4}[/tex]
