1. Dividing Monomials

2. Let's look at the rules.
For all integers “m” and “n” and any nonzero number “a” ……
When the problems look like this, and the bases are the same, you will subtract the exponents.
ANY number raised to the zero power is equal to ONE.
If the exponent is negative, it is written on the wrong side of the fraction bar, move it to the other side.

3. 1.
Subtract the exponents 2.
When dividing the coefficients or subtracting the exponents, place the answer on the side of the fraction bar that has the larger value for that term.
Divide the coefficients

4. If you’re having trouble with the rules, try it like this………
First, factor numerator and denominator into prime factors.
Second, cross out like terms from top to bottom. (reduce)
Third, list remaining terms and multiply them back together.

5. U’s cancel
Each other 3.
Subtract the exponents 4.
When dividing the coefficients or subtracting the exponents, place the answer on the side of the fraction bar that has the larger value for that term.
Divide the coefficients

6. 5.
Remember, if the exponent is negative, the term is written on the wrong side of the fraction bar, move it to the other side. 6.
Now
Subtract
The
Exponents

7. Now divide the coefficients but now ADD the exponents
Fix your
negative
exponent 7. 8.
ANY number raised to the zero power is equal to ONE.

8. Now divide the coefficients and combine the exponents
Fix your
negative
exponents 9.

9. And INSIDE …… Distribute!!
Exponents OUTSIDE
And INSIDE …… Distribute!!
10.
11.

10. First – Simplify the numerator!!
12.
Then the
denominator
Now
Subtract
The
Exponents

11. First – Simplify the numerator!!
13.
Then the
denominator
Now
Subtract
The
Exponents

12. And INSIDE …… Distribute!!
Exponents OUTSIDE
And INSIDE …… Distribute!!
14.
Fix your
Negative exponents
Now
Subtract
The
Exponents

13. Steps Multiply exponents Fix negative exponents
Any neg. number raised to even power becomes positive…
Subtract exponents (unless they are beside one another—then add)

14. And INSIDE …… Distribute!!
Exponents OUTSIDE
And INSIDE …… Distribute!!
15.
Fix your
Negative exponents
Now
Subtract
The
Exponents

15. 16.

16. 17.

17. Multiply exponents

18. And INSIDE …… Distribute!!
Exponents OUTSIDE
And INSIDE …… Distribute!!
Any neg.
number
raised
to an
even power
is positive
Use ( ) when
Typing the -4
Into calculator!