Hello!
The rule regarding the division of exponents states the following:

=

Insert any known values into the formula above:

=

Simplify the expression:

=
We have now proven that
is equal to
.I hope this helps!
Lets find the prime factorization of 22, 165, 35 and 210. Prime factorization of a number is breaking a number down into the set of prime numbers which multiply together to result in the original number.
The prime factorization of the number 22 is:

Similarly, for 165, 35 and 210 we have

Then, we can solve the given questions.
Question 1.

so we can cancel out the number 11 and get

Then, the answer is

Question 2.

and we can cancel out the number 5 and 7, then we obtain

then, the answer is
<span>10!/(10-6)!
=
3628800/24
=
151200
</span> So the answer is 151200