Question

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

Answer 1

a=3

Explanation:

`2^(5)=32`

`(32)/(2^(a) )=4`

`2^(a)=8`

a=3

Answer 2

Answer: 3

Explanation:

`(2^5)/(2^a)=2^2`

Multiply by
`2^a`

`2^a*(2^5)/(2^a)=2^2*2^a`

`2^5=2^2*2^a`

Divide by
`2^2` to isolate
`2^a`

`(2^5)/(2^2)=(2^2*2^a)/(2^2)`

`2^3=2^a`

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

`3=a`