Answer:
The value of x is 8
C is correct.
Step-by-step explanation:
Given: [tex](4^{4})^{x}=4^{32}[/tex]
Exponent property:
[tex](a^m)^n=a^{mn}[/tex]
[tex]\text{ If } a^m=a^n\text{ then }m=n[/tex]
[tex]4^{4x}=4^{32}[/tex] [tex]\because (a^m)^n=a^{mn}[/tex]
If base is same both side then exponent must be equal
Therefore,
[tex]4x=32[/tex]
Divide both side by 4
[tex]x=8[/tex]
Hence, The value of x is 8
