1. Algebraic Expressions – Rules for Exponents
Let’s review the rules for exponents you learned in Algebra 1 :

2. Algebraic Expressions – Rules for Exponents
Let’s review the rules for exponents you learned in Algebra 1 :
- When you multiply like variables you ADD their exponents

3. Algebraic Expressions – Rules for Exponents
Let’s review the rules for exponents you learned in Algebra 1 :
- When you multiply like variables you ADD their exponents
- When you divide like variables you SUBTRACT their exponents

4. Algebraic Expressions – Rules for Exponents
Let’s review the rules for exponents you learned in Algebra 1 :
- When you multiply like variables you ADD their exponents
- When you divide like variables you SUBTRACT their exponents
- When an exponent is raised to another exponent, you MULTIPLY exponents

5. Algebraic Expressions – Rules for Exponents
Let’s review the rules for exponents you learned in Algebra 1 :
- When you multiply like variables you ADD their exponents
- When you divide like variables you SUBTRACT their exponents
- When an exponent is raised to another exponent, you MULTIPLY exponents
- When a variable has a negative exponent, you change its position in a fraction and the exponent becomes positive.

6. Algebraic Expressions – Rules for Exponents
Let’s review the rules for exponents you learned in Algebra 1 :
- When you divide like variables you SUBTRACT their exponents
- When an exponent is raised to another exponent, you MULTIPLY exponents
- When a variable has a negative exponent, you change its position in a fraction and the exponent becomes positive.

7. Algebraic Expressions – Rules for Exponents
Let’s review the rules for exponents you learned in Algebra 1 :
- When an exponent is raised to another exponent, you MULTIPLY exponents
- When a variable has a negative exponent, you change its position in a fraction and the exponent becomes positive.

8. Algebraic Expressions – Rules for Exponents
Let’s review the rules for exponents you learned in Algebra 1 :
- When a variable has a negative exponent, you change its position in a fraction and the exponent becomes positive.

9. Algebraic Expressions – Rules for Exponents
Let’s review the rules for exponents you learned in Algebra 1 :

10. Algebraic Expressions – Rules for Exponents
Let’s review the rules for exponents you learned in Algebra 1 :
What we are going to do in Pre – Calc is take these rules and combine them into multi – step problems that might have all four rules utilized.

11. Algebraic Expressions – Rules for Exponents
Example # 1 :

12. Algebraic Expressions – Rules for Exponents
Example # 1 :
Since everything is multiplied, we can multiply all integers, and all like variables.

13. Algebraic Expressions – Rules for Exponents
Example # 1 :

14. Algebraic Expressions – Rules for Exponents
Example # 1 :
Example # 2 :

15. Algebraic Expressions – Rules for Exponents
Example # 1 :
Example # 2 :
Don’t PANIC !!! The rule for multiplying like variables still applies. Exponents can be algebraic, integers, or fractions

16. Algebraic Expressions – Rules for Exponents
Example # 1 :
Example # 2 :
We will still ADD exponents
Don’t PANIC !!! The rule for multiplying like variables still applies. Exponents can be algebraic, integers, or fractions

17. Algebraic Expressions – Rules for Exponents
Example # 1 :
Example # 2 :
We will still ADD exponents
Now just treat the exponent like an algebraic expression where we combine like terms…

18. Algebraic Expressions – Rules for Exponents
Example # 3 :
When you have imbedded parentheses and exponents outside, start with the innermost set and work your way “out”.

19. Algebraic Expressions – Rules for Exponents
Example # 3 :
Evaluate this first, applying the exponent outside to ALL of the terms inside.

20. Algebraic Expressions – Rules for Exponents
Example # 3 :

21. Algebraic Expressions – Rules for Exponents
Example # 3 :
I like to multiply what is inside the brackets before I apply the outside exponent.

22. Algebraic Expressions – Rules for Exponents
Example # 3 :
Apply the outside exponent.

23. Algebraic Expressions – Rules for Exponents
Example # 3 :

24. Algebraic Expressions – Rules for Exponents
There are two ways to attack this problem.
Apply the division rule using negative exponents.
Use the negative exponent rule first, then apply the division rule.
Example # 4 :

25. Algebraic Expressions – Rules for Exponents
There are two ways to attack this problem.
Apply the division rule using negative exponents.
Use the negative exponent rule first, then apply the division rule.
Example # 4 :

26. Algebraic Expressions – Rules for Exponents
There are two ways to attack this problem.
Apply the division rule using negative exponents.
Use the negative exponent rule first, then apply the division rule.
Example # 4 :
I applied the negative exponent rule and moved any variable with a negative exponent to the other part of the fraction and made the exponent positive…

27. Algebraic Expressions – Rules for Exponents
There are two ways to attack this problem.
Apply the division rule using negative exponents.
Use the negative exponent rule first, then apply the division rule.
Example # 4 :
Apply the normal division of like variables rule…

28. Algebraic Expressions – Rules for Exponents
This problem has a few rules to apply, apply the exponent to each parentheses first…
Example # 5 :

29. Algebraic Expressions – Rules for Exponents
This problem has a few rules to apply, apply the exponent to each parentheses first…
Example # 5 :
When you have an integer to the ½ power, it is the square root of the integer.

30. Algebraic Expressions – Rules for Exponents
This problem has a few rules to apply, apply the exponent to each parentheses first…
Example # 5 :
Now you divide your variables…

31. Algebraic Expressions – Rules for Exponents
This problem has a few rules to apply, apply the exponent to each parentheses first…
Example # 5 :
Anything to the zero power = 1, and it is not necessary to change improper fractions to mixed numbers…

32. Algebraic Expressions – Rules for Exponents
Example # 6 :

33. Algebraic Expressions – Rules for Exponents
Example # 6 :
On this one I would reduce any integer fraction first…

34. Algebraic Expressions – Rules for Exponents
Example # 6 :
On this one I would reduce any integer fraction first…

35. Algebraic Expressions – Rules for Exponents
Example # 6 :
Now apply the negative exponent outside…

36. Algebraic Expressions – Rules for Exponents
Example # 6 :
Move your negative exponent variables…

37. Algebraic Expressions – Rules for Exponents
Example # 6 :
Apply multiplication and division of variables rules…