Question

How do you simplify `(4 times 10^8)^-2` and write the answer in scientific notation?

Answer 1

`6.25 xx 10^-18`

Explanation:

The expression is equals to:

`(4 xx 10^8)^(-2) = (1)/(4 xx 10 ^8)^2 =`

`= (1)/4^2xx(1)/(10^16) =`

`= (1)/16xx10^(-16) = 0.0625 xx 10 ^(-16)`

In scientific notation:

`0.0625 xx 10 ^(-16) = 6.25 xx 10^(-18)`