Chapter 7, Problem 49CR

To determine

To simplify: The quotient $\frac{5.1\times {10}^5}{1.7\times {10}^2}$

Answer to Problem 49CR

  $3\times {10}^3$

Explanation of Solution

Given information: The expression $\frac{5.1\times {10}^5}{1.7\times {10}^2}$

Calculation:

  $\begin{array}{l}\frac{5.1\times {10}^5}{1.7\times {10}^2}\\ =\frac{5.1}{1.7}\times {10}^{5-2}[\because \frac{a^m}{a^n}=a^{m-n}]\\ =\frac{5.1}{1.7}\times {10}^3\\ =3\times {10}^3\end{array}$

Thus, $\frac{5.1\times {10}^5}{1.7\times {10}^2}=3\times {10}^3$