the distance from the sun to the star proxima centauri is a little more than 4×10^16 meters. the distance…
the distance from the sun to the star proxima centauri is a little more than 4×10^16 meters. the distance from the sun to the cone nebula is about 8×10^16 meters. about how many times farther from the sun is the cone nebula than proxima centauri?
Answer
Explanation:
Step1: Set up division
We need to divide the distance to the Cone Nebula by the distance to Proxima Centauri. Let $d_1 = 8\times10^{16}$ (distance to Cone Nebula) and $d_2=4\times 10^{16}$ (distance to Proxima Centauri). The formula is $\frac{d_1}{d_2}=\frac{8\times 10^{16}}{4\times 10^{16}}$.
Step2: Divide the coefficients and exponents
Divide the coefficients $8\div4 = 2$, and for the exponents with the same base ($10$), when dividing $a^m\div a^n=a^{m - n}$, here $m = n=16$, so $10^{16}\div10^{16}=10^{16 - 16}=10^0 = 1$. Then $\frac{8\times 10^{16}}{4\times 10^{16}}=\frac{8}{4}\times\frac{10^{16}}{10^{16}}=2\times1$.
Answer:
2