Question

Divide the following numbers in scientific notation and express the result in scientific notation3 x 10^12/ 7 x 10^4Round your answer to one decimal place. For example, if you found the answer was 1.362 x 10^5, you would enter 1.4 x 10^5

Answer 1

`\text{ 4.3 }*10^7\text{ (1 decimal place)}`Step-by-step explanation:
`\begin{gathered} G\text{iven:} \\ (3*10^(12))/(7*10^4) \end{gathered}`

simplfying:

`\begin{gathered} To\text{ solve the question, we will break it down} \\ (3*10^(12))/(7*10^4)=(3)/(7)*(10^(12))/(10^4) \\ \\ \text{when we have expoents with same base, } \\ \text{we will pick one of the base and combine the expoents together} \\ \text{The exponents are seperated by division, so we will subtract when we combine the exponents} \\ (10^(12))/(10^4)=10^{12\text{ - 4}} \\ (10^(12))/(10^4)=10^8 \end{gathered}`
`\begin{gathered} (3)/(7)*(10^(12))/(10^4)\text{ = }(3)/(7)*10^8 \\ (3)/(7)*(10^(12))/(10^4)\text{ = 0.4286 }*10^8\text{ = 4.286}*10^7*\text{ 10} \\ (3*10^(12))/(7*10^4)=\text{ 4.286}*10^7 \\ =\text{ 4.3 }*10^7\text{ (1 decimal place)} \end{gathered}`