Chapter 7.4, Problem 24PPE

To determine

To simplify: the quotient $\frac{5.2\times {10}^{13}}{1.3\times {10}^7}$ and write in scientific notation.

Answer to Problem 24PPE

The required answer is: $4\times {10}^6$

Explanation of Solution

Given information:

The given quotient: $\frac{5.2\times {10}^{13}}{1.3\times {10}^7}$

Calculation:

  $\frac{5.2\times {10}^{13}}{1.3\times {10}^7}=\frac{5.2}{1.3}\times {10}^{13-7}$

(Subtract exponents when dividing powers with the same base)

  $\begin{array}{l}=\frac{5.2}{1.3}\times {10}^6\\ =4\times {10}^6\end{array}$

(Simplify)