Question

2.1x10^6
______
7x10^3

answer in standard form
...................10^......

Answer 1

Given:

The expression is:

$\dfrac{2.1\times 10^6}{7\times 10^3}$

To find:

The simplified form of the given expression in standard form.

Solution:

We have,

$\dfrac{2.1\times 10^6}{7\times 10^3}$

It can be written as:

$\dfrac{2.1\times 10^6}{7\times 10^3}=\dfrac{21\times 10^5}{7\times 10^3}$

$\dfrac{2.1\times 10^6}{7\times 10^3}=\dfrac{21}{7}\times \dfrac{10^5}{10^3}$

$\dfrac{2.1\times 10^6}{7\times 10^3}=3\times 10^{5-3}$        $[\because \dfrac{a^m}{a^n}=a^{m-n}]$

$\dfrac{2.1\times 10^6}{7\times 10^3}=3\times 10^2$

Therefore, the required value is $3\times 10^2$.