The document provides instructions and examples for several math topics: 1) Khan Academy practice problems on simplifying expressions with exponents and common exponent errors. 2) Examples of multiplying monomials with multiple steps shown. 3) Converting between standard and scientific notation, including examples of multiplying and dividing monomials written in scientific notation. 4) A reminder about showing all steps for class work problems.

1. Today:
 Khan Academy Practice Problems
 Multiplying Monomials : More Complex Problems
 Scientific Notation Review
 Multiplying & Dividing w/Scientific Notation
 Class Work 3.6

2. Khan Academy: Simplifying Expressions with Exponents
In other words, all answers
are in integer, not ratio form.
z9 t12
In Khan Academy, type z9
like this : z^9
shift 6

3. Common Errors with Exponents
But remember, in the case of:
5x3
• 6x2
,
the ‘x’ is the base. What is our answer here?
30x5

4. Common Errors with Exponents

5. Multiplying Monomials: Level II
1. (-2r3s7t4 )2 (-6r2t 6)
Raise the 1st monomial to the 2nd power.
(4r6s14t8) (-6r2t 6):
= -24r 8 s14 t14
Multiply the coefficients and add
the variables with like bases

6. Step 1:
Multiplying Monomials: Level II

7. Step 2:
Step 3:
Step 4:

8. Step 5:
Step 6-7:

9. Multiplying Monomials: Level II

10. Change to a division problem & solve:
Monomials: New Problem Type
2x2y
1
3
x-3y-2 =
Change to a division problem & solve:
6r3s2
-
1
2
r-2s-7
=
Change to a multiplication problem & solve:
(4x3y2z-2) (
1
8
x-2z-4) =

11. Scientific Notation

12. Scientific Notation Review
Write in Scientific Notation:
1. 32,500
2. 902,050,000
3. .0005002
Write in Standard Notation:
1. 57 x 10-4
2. 9.087 x 105
3. 20.9 106

13. Scientific Notation: New Problem Types
Multiply Monomials Written in Scientific Notation
A. (3.2 x 103
) (7.4 x 102
)
1. Use the commutative Property of multiplication to rewrite
problem with the constants together and the exponents together.
(3.2 x 7.4) (103
x 102
) = 23.68 x 105
=
2. Rewrite in correct scientific notation form.
23.68 x 105
= 2.368 x 10?6

14. Scientific Notation: New Problem Types
Divide Monomials Written in Scientific Notation
= 4.5 x 106
= .75 x 10-7
= = 7.5 x 10?-8
1. Divide the coefficients and subtract the exponents.
2. Rewrite in correct scientific notation form.
Always use the
decimal form of
the number

15. Class Work 3.7
 You must show all steps required to
solve the problem