ANSWER:
8
EXPLANATION:
Given:
[tex](4^4)^x=4^{32}[/tex]
To find:
The value of x
Simplifying the given equation, we'll have;
[tex]4^{4x}=4^{32}[/tex]
Recall the below exponent rule;
[tex]\begin{gathered} a^m=a^b \\ \therefore m=b \end{gathered}[/tex]
Applying the above rule we'll have;
[tex]\begin{gathered} 4^{4x}=4^{32} \\ 4x=32 \\ \frac{4x}{4}=\frac{32}{4} \\ x=8 \end{gathered}[/tex]
So the value of x is 8
