Question

Which expression is equivalent to 2^ 2 x 2/2^ 4

a:2^ -2
b: 2^ -1
c: 2^ 6
d: 2^ 7

(Please show work!! (: )

Answer 1

(b)

using the 'laws of exponents '

`a^(m)` ×
`a^(n)` =
`a^((m+n))`

`(a^(m) )/(a^(n) )` =
`a^((m-n))`

2² ×
`(2)/(2^(4) )` =
`(2^(3) )/(2^(4) )` =
`2^((3-4))` =
`2^(-1)`