Answer: 3
Step-by-step explanation:
[tex]\frac{2^5}{2^a}=2^2[/tex]
Multiply by [tex]2^a[/tex]
[tex]2^a*\frac{2^5}{2^a}=2^2*2^a[/tex]
[tex]2^5=2^2*2^a[/tex]
Divide by [tex]2^2[/tex] to isolate [tex]2^a[/tex]
[tex]\frac{2^5}{2^2}=\frac{2^2*2^a}{2^2}[/tex]
[tex]2^3=2^a[/tex]
Since we have the same base (2), we equal their exponents.
[tex]3=a[/tex]
