Question

How do you simplify `(2^-1)^2/2^4` and write it using only positive exponents?

Answer 1

Answer is `1/2^6`

Explanation:

By using exponential law:
`a^-1 = 1/a`

So, `2^(-1) = 1/2`
`(2^(-1))^2 = (1/2)^2` = `1/2xx1/2=1/4`

So now we get;
`(1/4)/2^4` = `1/4xx1/2^4` = `1/4xx1/16=1/64` = `1/2^6`