Question

How do you multiply `(4.7 x 10^-8) (7.6 x 10^3)`?

Answer 1

You can first multiply `4.7xx7.6=35.72` and then deal with the powers of ten remembering that `a^m*a^m=a^(m+n)`;
`10^(-8)*10^3=10^(-8+3)=10^(-5)`
So you get:
`35.72xx10^(-5)` rearranged to have:
`3.572xx10^(-4)` by moving the decimal point to the left and changing, as a consequence, the exponent of `10` of 1 unit.