Question

Multiply (a) $\left(7.1\times {10}^{-2}\right)\left(2.4\times {10}^{-4}\right)$to get answer in decimal form

Divide (b)$\frac{6\times {10}^4}{3\times {10}^{-2}}$to get answer in decimal form

Short answer

(a) Multiplied result is$0.00001704$

(b) Divided result is$2000000$

Step-by-step solution

part (a) Step 1 Given information  

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

part (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 

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