Multiplying using scientific notation, we have:
[tex]\begin{gathered} (4.1\cdot10^{30})(6.1\cdot10^{90}) \\ 4.1\cdot6.1\cdot10^{30}\cdot10^{90}\text{ (Reorganizing terms)} \end{gathered}[/tex][tex]\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}[/tex]
