Question

Multiply (a) $\left(2\times {10}^2\right)\left(1\times {10}^{-4}\right)$ to get answer in decimal form

Divide (b)$\frac{5\times {10}^{-2}}{1\times {10}^{-10}}$to get answer in decimal form

Short answer

(a) Multiplied result is$0.02$

(b) Divided result is $500000000$

Step-by-step solution

part (a) Step 1 Given information  

$\left(2\times {10}^2\right)\left(1\times {10}^{-4}\right)$

part (a) Step 2 

$$\begin{gathered} \left(2\times {10}^2\right)\left(1\times {10}^{-4}\right)=2\times 1\times {10}^{2-4} \\ =2\times {10}^{-2} \\ =0.02 \end{gathered}$$

part (b) Step 1 Given information  

$\frac{5\times {10}^{-2}}{1\times {10}^{-10}}$

part (b) Step 2 

$$\begin{gathered} \frac{5\times {10}^{-2}}{1\times {10}^{-10}}=\frac{5}{1}\times {10}^{-2+10} \\ =5\times {10}^8 \\ =500000000 \end{gathered}$$