Question

What is the answer for this?

Answer 1

Answer:

Proved

Step-by-step 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