How do you simplify (4.5times10^4)(3times10^8) in scientific notation?

1 Answer
Dec 2, 2015

1.35*10^13

Explanation:

Multiply the numeric part: 4.5*3 = 13.5
Multiply the powers of ten: 10^4*10^8 = 10^12

So, the result is 13.5 * 10^12. To convert it to scientific notation, observe that

13.5=1.35 * 10

and thus the result becomes

13.5 * 10^12 = 1.35 * 10 * 10^12 = 1.35*10^13