Question

Hello! Please guide me to solve this by adding steps and how you got the answer in words, please. Thanks in advance!

Answer 1

Multiplying using scientific notation, we have:

`\begin{gathered} (4.1\cdot10^(30))(6.1\cdot10^(90)) \\ 4.1\cdot6.1\cdot10^(30)\cdot10^(90)\text{ (Reorganizing terms)} \end{gathered}`
`\begin{gathered} 25.01\cdot10^(30)\cdot10^(90)\text{ (Multiplying)} \\ 25.01\cdot10^(120)\text{ (Using the product rule of exponents)} \\ 2.501\cdot10\cdot10^(120)\text{ (Rewriting 25.01 so that it has one integer)} \\ 2.501\cdot10^(121)\text{ (Using the product rule of exponents)} \\ \text{ The answer is 2.501}\cdot10^(121) \end{gathered}`