1. (-3a2bc4) (-3a2bc4) (-3a2bc4) (2ab3c) (2ab3c)
Do Now
Simplify:
(-3a2bc4)3 (2ab3c)2
(-3a2bc4) (-3a2bc4) (-3a2bc4) (2ab3c) (2ab3c)
-108a8b9c14

2. When dividing monomials,
1) DIVIDE the coefficients.
2) SUBTRACT the exponents. 1. 2.
= b5-2
= b3
= m7-1n5-2
= m6 n3

3. 3 7
2 6
x y
x y =
= xy
= 9a3b2

4. 5)
x2y3z7 6) m3

5. = 1m0n = n Here’s a tricky one! They canceled out!
What happened to the m?
They canceled out!
There are no m’s left over!
This leads us to our next rule…

6. Zero Exponents Anything to the 0 power is equal to 1. a0 = 1
True or False? Anything divided by itself equals one.
True!
See for yourself!

7. Negative Exponents
A negative exponent means you move the base to the other side of the fraction and make the exponent positive.
Notice that the base with the negative exponent moved and became positive!

8. x-4 y0 You can not have negative or zero exponents in your answer.
Simplify.
x-4 y0 You can not have negative or zero exponents in your answer. =

9. Simplify p2
p12 .

10. You can’t leave the negative exponent!
Simplify.
You can’t leave the negative exponent!

11. Simplify.
Get rid of the negative exponent.

12. Simplify.
Get rid of the negative exponents.

13. 10.

14. 11.