we have that
Mars is [tex] 35 [/tex] million miles from the Earth.
Pluto is [tex] 4.67 [/tex] billion miles from the Earth.
we know that
[tex] 1 billion=1,000,000,000=1*10^{9} [/tex]
Part 1) Express the distance from Mars to Earth in scientific notation
[tex] 35\ million\ miles=35,000,000\ miles=3.5*10^{7}\ miles [/tex]
therefore
the answer part 1) is
[tex] 3.5*10^{7}\ miles [/tex]
Part 2) Express the distance from Pluto to Earth in scientific notation
[tex] 4.67\ billion\ miles=4,670,000,000\ miles=4.67*10^{9}\ miles [/tex]
therefore
the answer Part 2) is
[tex] 4.67*10^{9}\ miles [/tex]
Part 3) Calculate the ratio of the distance from Pluto to Earth to the distance from Mars to Earth. Use scientific notation to calculate the ratio and to express your answer
[tex] ratio=\frac{4.67*10^{9}}{3.5*10^{7}} \\ \\ ratio=\frac{4.67*10^{2}}{3.5}}\\ \\ ratio=\frac{467}{3.5} \\ \\ ratio=133.43 [/tex]
[tex] ratio=1.3343*10^{2} [/tex]
therefore
the answer Part 3) is
[tex] 1.3343*10^{2} [/tex]
