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