Question

Simplify :- 62.5×(10)−122.5×(10)862.5×(10)−122.5×(10)8

Answer 1

$\frac{62.5\times {10}^{-12}}{2.5\times {10}^8}$

$=\frac{62.5\times 10\times {10}^{-12}}{10\times 2.5\times {10}^8}$ (Multiplying and Dividing by $10$ )

$=\frac{6.25\times {10}^{1-12}}{2.5\times {10}^8}$ using $a^m\times a^n=a^{m+n}$

$=\frac{{\left(2.5\right)}^2\times {10}^{-11}}{2.5\times {10}^8}$ using $\frac{a^m}{a^n}=a^{m-n}$

$=2.5\times {10}^{-11-8}$

$=2.5\times {10}^{-19}$