Question

Could you please show me how to perform this operation and express in scientific notation.

(2.8 x 10^4) x (4 x 10^5)

Thank you

Answer 1

`1.12 * 10^(10)`

Explanation:

`2.8 * 10^4 * 4 * 10^5 \text{ // I like to separate the tens from all other numbers}\\\to (2.8 * 4) * (10^4 * 10^5) \text{ // Remember the rule: } a^n * a^m = a^(n + m)\\\to 11.2 * 10^(4 + 5)\\\to 11.2 * 10^9 \text{ // } 11.2 \text{ is equal to } 1.12 * 10^1\\\to 1.12 * 10^1 * 10^9\\\to 1.12 * 10^(1 + 9)\\\to 1.12 * 10^(10)`