Question

The diameter of the Milky Way is 2 x 10²⁰ meters. The radius of Earth is 6.37 x 10⁶meters. About how many times as great is the diameter of the Milky Way than the radius of Earth? The diameter of the Milky Way is about

Answers: 4.37 X 10¹⁴
3.1 X 10¹⁴
4.37 X 10¹³
3.1 X 10¹³

(blank) times as great as the radius of Earth.​

Answer 1

3.1 x
`10^(13)`

Explanation:

`(2x10^(20) )/(6.37x10^(6) )`

3/6.37 is about .31

When you are dividing with powers, you subtract the exponents

20 - 6 = 14

.31 x
`10^(14)` This is not in scientific notation because .31 is less than 1

3.1 x
`10^(-1)`x
`10^(14)` When we multiply powers with the same base we add the exponents

3.1 x
`10^(13)`