Q. 172 - Intermediate Algebra

Question

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

(a) $\left(7.1\times {10}^{-2}\right)\left(2.4\times {10}^{-4}\right)$ (b) $\frac{6\times {10}^4}{3\times {10}^{-2}}$

Step-by-Step Solution

Answer

(a) Multiplied result is 0.000001704

(b) Divided result is 2000000

part (a) Step 1 Given information

$\left(7.1\times {10}^{-2}\right)\left(2.4\times {10}^{-4}\right)$

part (a) Step 2

$$\begin{gathered} \left(7.1\times {10}^{-2}\right)\left(2.4\times {10}^{-4}\right)=7.1\times 2.4\times {10}^{-2-4} \\ =17.04\times {10}^{-6} \\ =0.00001704 \end{gathered}$$

part (b) Step 1 Given information

$\frac{6\times {10}^4}{3\times {10}^{-2}}$

part (b) Step 2

$$\begin{gathered} \frac{6\times {10}^4}{3\times {10}^{-2}}=\frac{6}{3}\times {10}^{4+2} \\ =2\times {10}^6 \\ =2000000 \end{gathered}$$