1. Warm-up #6, Tuesday 2/16 Find the domain of x → 6 𝑥 2 −25
Given g 𝑥 = −𝑥+5 𝑥 2 +3 , find g(−3)
Simplify 2 2 ( 25𝑥 7 5𝑥 −4 )

2. Homework
Rules of Exponents page 4 and 5

3. Warm-up #7, Wednesday 2/17 Simplify 4 3 𝑛 8 𝑘 2 4𝑛 5 𝑘 11
𝑆𝑖𝑚𝑝𝑙𝑖𝑓𝑦 ( 9 𝑥 2 𝑦 2𝑥 𝑦 9 )( 14 𝑥 3 𝑦 5 27𝑥𝑦 )
𝑆𝑖𝑚𝑝𝑙𝑖𝑓𝑦 ( 𝑟𝑠 8 𝑟 3 )÷( 2 𝑠 3 𝑟 5 )

4. Homework
Rules of Exponents page 4 and 5
Bacteria Problem

5. Warm-up #8, Wednesday 2/18 Simplify 6 3 𝑛 14 𝑘 5 6𝑛 5 𝑘 17
𝑆𝑖𝑚𝑝𝑙𝑖𝑓𝑦 ( 3𝑦 7𝑥 𝑦 6 )( 14 𝑥 7 𝑦 6 12𝑥𝑦 )
𝑆𝑖𝑚𝑝𝑙𝑖𝑓𝑦 ( 6𝑟𝑤 4 𝑟 5 )÷( 2 𝑤 6 𝑟 6 )

6. Homework 2/18
Rules of Exponents page 6 and 7

7. Lesson 5.08 Laws of Exponents

8. Exponents
exponent
base
53 means 3 factors of 5 or 5 x 5 x 5

9. Properties of Exponents
Any single number or variable is always to the first power

10. Laws of Exponents

11. Multiplying Powers: If you are multiplying Powers with the same base, KEEP the BASE & ADD the EXPONENTS!
So, I get it! When you multiply Powers, you add the exponents!

12. Example
𝑎 2 ∙ 𝑏 2
𝑎 5 ∙ 𝑎 7
3 12 ∙ 3 −8
𝑎 2 ∙ 𝑎𝑏 2
𝑎 10 𝑏 6 𝑎 −9 𝑏 2

13. Dividing Powers: When dividing Powers with the same base, KEEP the BASE & SUBTRACT the EXPONENTS!
So, I get it!
When you divide Powers, you subtract the exponents!

14. Try these:

15. SOLUTIONS

16. SOLUTIONS

17. Power of a Power: If you are raising a Power to an exponent, you multiply the exponents!
So, when I take a Power to a power, I multiply the exponents

18. Product Law of Exponents: If the product of the bases is powered by the same exponent, then the result is a multiplication of individual factors of the product, each powered by the given exponent.
So, when I take a Power of a Product, I apply the exponent to all factors of the product.

19. Try these:

20. Quotient Law of Exponents: If the quotient of the
bases is powered by the same exponent, then the result is both
numerator and denominator , each powered by the given exponent.
So, when I take a Power of a Quotient, I apply the exponent to all parts of the quotient.

21. Try these:

22. SOLUTIONS

23. SOLUTIONS

24. Negative Law of Exponents: If the base is powered
by the negative exponent, then the base becomes reciprocal with the
positive exponent.
So, when I have a Negative Exponent, I switch the base to its reciprocal with a Positive Exponent.
Ha Ha!
If the base with the negative exponent is in the denominator, it moves to the numerator to lose its negative sign!

25. Zero Law of Exponents: Any base powered by zero exponent equals one.
So zero factors of a base equals 1. That makes sense! Every power has a coefficient of 1.

26. Try these:

27. SOLUTIONS

28. SOLUTIONS