Question

How do you simplify `2^-2/2^5`?

Answer 1

`= color(blue)( 2 ^ -7`

Explanation:

`2^-2/(2^5)`

• As per property:
  `color(blue)(a^m/a^n =a ^(m-n)`

Applying the above:
`2^-2/(2^5) = 2 ^((-2-5))`

`= color(blue)( 2 ^ -7` or

`= color(blue)( 1/ 2 ^ 7`