Question

Simplify the following

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

Answer 1

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

On simplifying the given expression, we get;

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

$=\frac{24\times {10}^{7-5}}{8\times {10}^4}$ $\{\because a^m\times a^n=a^{m+n}\}$

$=\frac{3\times {10}^2}{{10}^4}$

$=\frac{3}{{10}^{4-2}}$ $\{\because \frac{a^m}{a^n}=a^{m-n}\}$

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

$=\frac{3}{100}$