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1. Multiplication
Property of Exponents
Section 7.1 pages 391-397

2. Monomials
A number, a variable, or the product of a number and one or more variables.
No addition or subtraction included.
No variables in the denominator.
Constant
A monomial that is only a real number.

3. Is the expression a monomial?
101.a.
b.
c.
d.
𝑡 + 24
ℎ2
𝑗
2.a.
b.
c.
d.
−𝑥 + 5
23𝑎𝑏𝑐𝑑2
𝑥𝑦𝑧2
2
𝑚𝑝
𝑛

4. Product of Powers
Same bases are multiplied, add the exponents.
𝑏3 ∙ 𝑏5 = 𝑏3+5 = 𝑏8

5. Simplify each expression
𝑎. 6𝑛3 2𝑛7
𝑏. 3𝑝𝑡3
𝑝3
𝑡4
𝑐. 3𝑦4
7𝑦5
𝑑. −4𝑟𝑥2
𝑡3
−6𝑟5
𝑥2
𝑡

6. Power of a power
Power raised to a power, multiply the exponents.
𝑏3 5
= 𝑏3∙5
= 𝑏15

7. Simplify each expression
𝑎. 𝑥2 2 4 𝑏. 𝑥5 5
𝑐. 23 𝑥 2 𝑑. 𝑥2 3 𝑥3 4

8. Power of a product
Find the power of each factor and multiply.
−2𝑥𝑦3 5 = −2 5 𝑥5 𝑦3∙5 = −32𝑥5 𝑦15

9. Simplify each expression
𝑎. 2𝑥𝑦2 2 𝑏. 4𝑎4 𝑏9 𝑐 2

10. Simplify the expressions
𝑎. 3𝑥𝑦4 2 −2𝑦 2 3
𝑏.
1
2
𝑎2
𝑏2
3
−4𝑏 2 2

11. Homework
page 395 #27-52