Question

How do you simplify `(8 times 10^8)(9 times 10^10)`?

Answer 1

`color(blue)(=> 72 * 10^18`

Explanation:

`(8 * 10^8) * (9 * 10^10)`

`=> 8 * 10 ^8 * 9 * 10^10`

`=> 8 * 9 * 10^8 * 10^10`

`=>(8 * 9) * (10^8 * 10^10)`

`=> 72 * (10^(8+10)), color(brown)(" as " a^m * a^n = a^(m + n)`

`color(blue)(=> 72 * 10^18`