Question

How do you simplify `(2 times 10^13)(3.6 times 10^-9)`?

Answer 1

I found: `7.2xx10^4`

Explanation:

We can separate the numbers and the powers of ten to write:
`=(2*3.6)xx(10^(13)*10^(-9))=`
now we remember the property of the exponents:
`a^m*a^n=a^(m+n)`
and write:
`=7.2xx(10^(13+(-9)))==7.2xx10^4`