Question

How do you multiply `(4.5 x 10^17)(6.9 x 10^14)`?

Answer 1

`=> 3.105 * 10^32 * x^2`

Explanation:

`(4.5 * x * 10^(17) ) * (6.9 * x * 10^(14))`

`=> 4.5 * x * 10^17 * 6.9 * x * 10^14`

`=> 4.5 * 6.9 * x * x * 10^17 * 10^14, " bringing like terms together"`

`=> 4.5 * 6.9 * x^2 * 10^ (17 + 14), " as " a^m * a^n = a ^(m + n)`

`=>31.05 * 10^31 * x^2`

`=> 3.105 * 10^32 * x^2`