Question

Write 2^15 ÷ 2^9 in the form 2^k where k is an integer to be found

Answer 1

`2^(6)`

Explanation:

using the rule of exponents

`a^(m)` ÷
`a^(n)` =
`a^((m-n))`

then

`2^(15)` ÷
`2^(9)` =
`2^((15-9))` =
`2^(6)` ( with k = 6 )