Chapter 7, Problem 48CR

To determine

To simplify: The quotient $\frac{4.5\times {10}^3}{9\times {10}^7}$

Answer to Problem 48CR

  $5\times {10}^{-5}$

Explanation of Solution

Given information: The expression $\frac{4.5\times {10}^3}{9\times {10}^7}$

Calculation:

  $\begin{array}{l}\frac{4.5\times {10}^3}{9\times {10}^7}\\ =\frac{4.5}{9}\times {10}^{3-7}[\because \frac{a^m}{a^n}=a^{m-n}]\\ =\frac{4.5}{9}\times {10}^{-4}\\ =0.5\times {10}^{-4}\\ =0.5\times 10\times {10}^{-4-1}\\ =5\times {10}^{-5}\end{array}$

Thus, $\frac{4.5\times {10}^3}{9\times {10}^7}=5\times {10}^{-5}$