Verified answer

60 = 6.0 * 10

which is the same as

6 * 10^1 (normally, we don't bother writing the "1", but in this case, it will be useful)

6.71 * 10^8 mi/hr * 1 hr / 6*10^1 min.

We group things together (just to make it easier)

(6.71 / 6) * (10^8 / 10^1) * (mi/hr * hr/min.)

yes, units are part of the calculation; most people forget about that.

In the first one, straightforward division

6.71/6 = 1.118333...

we'll write 1.12

In the seond one

(10^8 / 10^1)

division of powers = subtract the powers

10^8 / 10^1 = 10^(8-1) = 10^7

In the third one (the units):

mi/hr * hr/min

the hours cancel out, leaving

mi/min

which is what you want

put it all together:

1.12*10^7 miles per minute

Divide by 60, of course.

In 1/60 of an hour it travels 1/60 as far as in 1 hour.