Question

Evaluate:
(3.7 x 10-2) (1.2 x 103)​

Answer 1

`(3.7 * 10^(-2)) (1.2 * 10^3) = 44.4`

Step-by-step explanation:

Given

`(3.7 * 10^(-2)) (1.2 * 10^3)`

Required

Evaluate

`(3.7 * 10^(-2)) (1.2 * 10^3)`

Remove bracket

`(3.7 * 10^(-2)) (1.2 * 10^3) = 3.7 * 10^(-2)*1.2 * 10^3`

Rewrite as:

`(3.7 * 10^(-2)) (1.2 * 10^3) = 3.7 *1.2* 10^(-2) * 10^3`

`(3.7 * 10^(-2)) (1.2 * 10^3) = 4.44* 10^(-2) * 10^3`

Apply law of indices

`(3.7 * 10^(-2)) (1.2 * 10^3) = 4.44* 10^(-2+3)`

`(3.7 * 10^(-2)) (1.2 * 10^3) = 4.44* 10^1`

`(3.7 * 10^(-2)) (1.2 * 10^3) = 4.44* 10`

`(3.7 * 10^(-2)) (1.2 * 10^3) = 44.4`