Question

Please answer my revision q xx

Answer 1

x = k - 2n

Explanation:

The main exponent properties

`a^(m)` ×
`a^(n)` =
`a^(m+n)` ........ (1)

`(a^(m) )/(a^(n) )` =
`a^(m)` ÷
`a^(n)` =
`a^(m-n)` ........ (2)

`(a^(m) )^(n)` =
`a^(m*n)` =
`a^(mn)` ........ (3)

~~~~~~~~~~~~~~~~~~

`(2^(k) )/(4^(n) )` =
`2^(x)`

Let apply (3) and (2) exponent properties

L.H. =
`(2^(k) )/((2^2 )^(n) )` =
`(2^(k) )/(2^(2n) )` =
`2^(k-2n)`

`2^(k-2n)` =
`2^(x)` ⇒ x = k - 2n

Answer 2

k - 2n = x

Explanation:

4^n = 2 ^ 2n

2^k/2^2n = 2^(k-2n) = 2^x

k - 2n = x

Thanks