the distance from the sun to the star proxima centauri is a little more than 4×10¹⁶ meters. the distance…

the distance from the sun to the star proxima centauri is a little more than 4×10¹⁶ meters. the distance from the sun to the cone nebula is about 8×10¹⁶ meters. about how many times farther from the sun is the cone nebula than proxima centauri?

the distance from the sun to the star proxima centauri is a little more than 4×10¹⁶ meters. the distance from the sun to the cone nebula is about 8×10¹⁶ meters. about how many times farther from the sun is the cone nebula than proxima centauri?

Answer

Explanation:

Step1: Set up the division

We need to divide the distance to the Cone Nebula by the distance to Proxima Centauri. The distance to the Cone Nebula is $8\times10^{16}$ meters and to Proxima Centauri is $4\times 10^{16}$ meters. So the calculation is $\frac{8\times 10^{16}}{4\times 10^{16}}$.

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 $2\times1=2$.

Answer:

2