Simplify the following:$ \frac{\left(4 \times 10^{7}\right)\left(6 \times 10^{-5}\right)}{8 \times 10^{4}} $

Given:

\( \frac{\left(4 \times 10^{7}\right)\left(6 \times 10^{-5}\right)}{8 \times 10^{4}} \)

To do:

We have to simplify the given expression.

Solution:

We know that,

$(a^{m})^{n}=a^{m n}$

$a^{m} \times a^{n}=a^{m+n}$

$a^{m} \div a^{n}=a^{m-n}$

$a^{0}=1$
 Therefore,

$\frac{(4 \times 10^{7})(6 \times 10^{-5})}{8 \times 10^{4}}=\frac{4 \times 6}{8}\times 10^{(7-5-4)}$

$=3 \times 10^{-2}$

$=\frac{3}{10^{2}}$

$=\frac{3}{100}$

Hence, $\frac{(4 \times 10^{7})(6 \times 10^{-5})}{8 \times 10^{4}}=\frac{3}{100}$.

Tutorialspoint

Simply Easy Learning

Updated on: 10-Oct-2022

29 Views

Kickstart Your Career

Get certified by completing the course

Get Started