Chapter 4.5, Problem 36IP

To determine

To evaluate : the expression

Answer to Problem 36IP

The solution of the expression in scientific notation is $1.44\times {10}^{22}$

Explanation of Solution

Given information :

The expression is $\frac{\left(9.6\times {10}^{20}\right)\left(3\times {10}^6\right)}{2\times {10}^5}$

Calculation :

The value of the expression is:

  $\begin{array}{l}\frac{\left(9.6\times {10}^{20}\right)\left(3\times {10}^6\right)}{2\times {10}^5}\\ \frac{\left(9.6\times 3\right)\left({10}^{20}\times {10}^6\right)}{2\times {10}^5}\\ \frac{28.8\times {10}^{26}}{2\times {10}^5}\\ \frac{28.8}{2}\times \frac{{10}^{26}}{{10}^5}\\ 14.4\times {10}^{21}\\ 1.44\times {10}^{22}\end{array}$

Hence, the solution of the expression in scientific notation is $1.44\times {10}^{22}$