B. Powers and Exponent LawsMath 9

Outcomes

N9.1

Demonstrate (concretely, pictorially, and symbolically) understanding of powers with integral bases (excluding base 0) and whole number exponents including:

representing using powers

evaluating powers

powers with an exponent of zero

solving situational questions.

Big Idea

Powers (exponents) are a short hand way of writing repeated multiplication. They are the “E” in BEDMAS.

Key Terms

1. What is a Power or Exponent?

N9.1

Demonstrate (concretely, pictorially, and symbolically) understanding of powers with integral bases (excluding base 0) and whole number exponents including:

representing using powers

evaluating powers

powers with an exponent of zero

solving situational questions.

Example 1

Example 2

Example 3

Practice

Ex. 2.1 (p.55)

#1-14 oie, 15-17

Or

#4-6, 13-25

2. Powers of Ten and Exponent of Zero

N9.1

Demonstrate (concretely, pictorially, and symbolically) understanding of powers with integral bases (excluding base 0) and whole number exponents including:

representing using powers

evaluating powers

powers with an exponent of zero

solving situational questions.

What do you think 100 will give you as result?

Example 1

Example 2

Example 3

Practice

Ex. 2.3 (p.61)

#1-13

Or

#4-15

3. Order of Operations with Powers

N9.1

Demonstrate (concretely, pictorially, and symbolically) understanding of powers with integral bases (excluding base 0) and whole number exponents including:

representing using powers

evaluating powers

powers with an exponent of zero

solving situational questions.

BEDMAS1. Brackets

2. Exponents

3. Division and multiplication (work left to right)

4. Adding and Subtracting (work left to right)

Example 1

Example 2

Example 3

Practice

Ex. 2.3 (p.66)

#3-5 oie, 6-8, 10-19

Or

#7, 8 odds, 10 odds, 11, 12, 14 odds, 15-26

4. Exponent Laws

N9.1

Demonstrate (concretely, pictorially, and symbolically) understanding of powers with integral bases (excluding base 0) and whole number exponents including:

representing using powers

evaluating powers

powers with an exponent of zero

solving situational questions.

When dividing powers that have the same base you always want to subtract the smaller exponent from the larger exponent and the result is left in the same location of the higher power (numerator or denominator)

Example 1

Example 2

Example 3

Practice

Ex. 2.4 (p.76)

#1,2, 4-5 oie, 8-16 oie with multiple questions

OR

#8-23 oie with multiple questions

5. Exponent Laws Continued

N9.1

Demonstrate (concretely, pictorially, and symbolically) understanding of powers with integral bases (excluding base 0) and whole number exponents including:

representing using powers

evaluating powers

powers with an exponent of zero

solving situational questions.

We can use the laws we learned last day to simplify powers written in other forms.

Using the laws from last day how can you simplify the power below.

Using the laws from last day how can you simplify the power below.

Using the laws from last day how can you simplify the power below.

Example 1

Example 2

Example 3

Practice

Ex. 2.5 (p.83)

#1,2,4-8, 10,11,14 odds, 15, 16 odds, 17 odds, 18 odds

Or

#4-8, 10,11,14 odds, 15, 16 odds, 17 odds, 18 odds, 20, 21