Question

If 2^5/2^a= 2^2, then a=

Answer 1

Answer: 3

Step-by-step explanation:

$\frac{2^5}{2^a}=2^2$

Multiply by $2^a$

$2^a*\frac{2^5}{2^a}=2^2*2^a$

$2^5=2^2*2^a$

Divide by $2^2$ to isolate $2^a$

$\frac{2^5}{2^2}=\frac{2^2*2^a}{2^2}$

$2^3=2^a$

Since we have the same base (2), we equal their exponents.

$3=a$