Q. 170 - Intermediate Algebra

Question

In the following exercises, multiply or divide as indicated. Write your answer in decimal form.

(a) $\left(3\times {10}^{-5}\right)\left(3\times {10}^9\right)$ (b) $\frac{7\times {10}^{-3}}{1\times {10}^{-7}}$

Step-by-Step Solution

Answer

(a) Multiplied result is 90000

(b) Divided result is 70000

part (a) Step 1 Given information

$\left(3\times {10}^{-5}\right)\left(3\times {10}^9\right)$

part (a) Step 2

$$\begin{gathered} \left(3\times {10}^{-5}\right)\left(3\times {10}^9\right)=3\times 3\times {10}^{-5+9} \\ =9\times {10}^4 \\ =90000 \end{gathered}$$

part (b) Step 1 Given information

$\frac{7\times {10}^{-3}}{1\times {10}^{-7}}$

part (b) Step 2

$$\begin{gathered} \frac{7\times {10}^{-3}}{1\times {10}^{-7}}=\frac{7}{1}\times {10}^{-3+7} \\ =7\times {10}^4 \\ =70000 \end{gathered}$$