Answer:
The correct option is: b) [tex]2^2^x^+^6=2^6[/tex]
Step-by-step explanation:
The given expression is: [tex]4^x^+^3=64[/tex]
Factoring out 64 will give: [tex]64=2\times 2\times 2\times 2\times 2\times 2=2^6[/tex]
Now, the given expression becomes.....
[tex]4^x^+^3=2^6\\ \\ (2^2)^x^+^3=2^6\ \ [As,\ 4=2^2]\\ \\ 2^2^(^x^+^3^)=2^6 \ \ [using\ 'power\ to\ the\ power'\ rule]\\ \\ 2^2^x^+^6=2^6[/tex]
So, the equivalent expression is: [tex]2^2^x^+^6=2^6[/tex]
