Question

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

Answer 1

`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`