Respuesta :
[tex]\text{ 4.3 }\times10^7\text{ (1 decimal place)}[/tex]Explanation:[tex]\begin{gathered} G\text{iven:} \\ \frac{3\times10^{12}}{7\times10^4} \end{gathered}[/tex]
simplfying:
[tex]\begin{gathered} To\text{ solve the question, we will break it down} \\ \frac{3\times10^{12}}{7\times10^4}=\frac{3}{7}\times\frac{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} \\ \frac{10^{12}}{10^4}=10^{12\text{ - 4}} \\ \frac{10^{12}}{10^4}=10^8 \end{gathered}[/tex][tex]\begin{gathered} \frac{3}{7}\times\frac{10^{12}}{10^4}\text{ = }\frac{3}{7}\times10^8 \\ \frac{3}{7}\times\frac{10^{12}}{10^4}\text{ = 0.4286 }\times10^8\text{ = 4.286}\times10^7\times\text{ 10} \\ \frac{3\times10^{12}}{7\times10^4}=\text{ 4.286}\times10^7 \\ =\text{ 4.3 }\times10^7\text{ (1 decimal place)} \end{gathered}[/tex]