Question

What is the answer for this?

Answer 1

Proved

Explanation:

Given

`(2 * 10^2) * (3 * 10^5) = 3.5 * 10^7 + 2.5 * 10^7`

Required

Prove

On the right hand side, we have:

`2 * 10^2 * 3 * 10^5 = 3.5 * 10^7 + 2.5 * 10^7`

Rewrite:

`2 * 3* 10^2 * 10^5 = 3.5 * 10^7 + 2.5 * 10^7`

`6* 10^2 * 10^5 = 3.5 * 10^7 + 2.5 * 10^7`

Apply law of indices

`6* 10^(2+5) = 3.5 * 10^7 + 2.5 * 10^7`

`6* 10^7 = 3.5 * 10^7 + 2.5 * 10^7`

Express 6 as 3.5 + 2.5

`(3.5 + 2.5)* 10^7 = 3.5 * 10^7 + 2.5 * 10^7`

Open bracket

`3.5 *10^7+ 2.5*10^7 = 3.5 * 10^7 + 2.5 * 10^7`

Proved