How do you simplify (9 times 10^2)(2 times 10^10) and write the answer in scientific notation?

1 Answer
Jan 15, 2016

1.8 xx 10^13

Explanation:

using : a^m xx a^n = a^(m + n )

then ( 9 xx 10^2 )( 2 xx 10^10 )

can be written : 9 xx 2 xx 10^2 xx 10^10 = 18 xx 10^12

now( 18 = 1.8 xx 10 = 1.8 xx 10^1)

rArr 18 xx 10^12 = 1.8 xx 10^1 xx 10^12 = 1.8 xx 10^13