The document provides examples of different mathematical operations: 1) Multiplication examples include multiplying terms with the same base. 2) Division examples include dividing one number by another. 3) Examples of raising a power to another power include squaring a cubed term. 4) A story problem involves a plant growing at a rate where its height triples every day. 5) Zero exponent examples set a term with an exponent of zero equal to one. 6) Negative exponent examples include taking the reciprocal of a term with a negative exponent. 7) Distributive property examples distribute a term over a sum or difference.

1. Multiplication Examples:
1. y2 y5 =
xa xb =
2. 52x 53x + 1 =
1

2. Division Examples:
1. 35 ÷ 32 =
xa
xb
2. a4m ‐ 1
a2m
2

3. Power to a Power Examples:
1. (y3)2 =
(xa)b =
2. (‐xd)2 =
3

4. Consider a story: On Saturday, a little boy notices a
Zero and negative exponents: what does that mean?
plant next to the steps outside his house and measures
it: 3" tall. On Sunday, it's 9" tall and on Monday, it's
27" tall.
What's the pattern?
How tall was it on Friday? Thursday?
4

5. Zero Examples:
1. 55537920 =
x0 =
2. 2y0 =
5

6. Negative Exponents Examples:
1. a‐3
x‐a = b‐6
1 =
x‐a 2. 4ab‐3 =
2b2
6

7. Distributive/Reverse Examples:
Distributive
1. 25 85
xaya =
2. 53 =
xa = 103
ya
7

8. Attachments
8.3 Practice with Examples Solutions.pdf
8.1 Practice with Examples.pdf
8.1 Practice with Examples Solutions.pdf
8.3 Practice with Examples.pdf