HOUSEKEEPING

Yesterday we looked at the multiplication property of exponents. You learned that when multiplying powers with the same bases, you simply add the exponents.

Today & Friday – MAP testing 9:00 am or 2:00 pm

PROPERTIES OF EXPONENTS

Division

GOAL FOR TODAY…….

Goal: Be able to apply

properties of exponents to generate equivalent numerical expressions

Agenda: Review –

Multiplication Property

Division Property

It’s time ….

SHOW WHAT YOU KNOW!

Your host….

Fran Action

Question Simplify the expression by writing the product of two powers as one power.

56 53

a.) 259

b.) 59

c.) 518

d.) 253

e.) none of the above

Winners! Congratulations!!! You just won a piece of gum!

Thanks for playing!!

Fran Action

GOAL FOR TODAY…….

Goal: Be able to apply

properties of exponents to generate equivalent numerical expressions

Agenda: Review –

Multiplication Property

Division Property

5 5 555

53= 5 5 5 5 5 = 5 5 = 52= 5 5 5

5 5 5 5 5

Notice what occurs when you divide powers with the same base.

5 5 555

53= 5 5 5 5 5 = 5 5 = 52= 5 5 5

5 5 5 5 5

Notice what occurs when you divide powers with the same base.

What’s the Rule?

75

73

Example: Dividing Powers with the Same Base

Divide. Write the quotient as one power.

Subtract exponents.7275 – 3

75

73

Example: Dividing Powers with the Same Base

Divide. Write the quotient as one power.

Example: Dividing Powers with the Same Base

Divide. Write the quotient as one power.

x9

x10

Example: Dividing Powers with the Same Base

Divide. Write the quotient as one power.

x9

x10

Subtract exponents.x9-10

x Think: x = x1-1

3-5

3-2

Example: Dividing Powers with the Same Base

Divide. Write the quotient as one power.

3-5

3-2

Example: Dividing Powers with the Same Base

Divide. Write the quotient as one power.

Subtract exponents.3 -33 -5 – (-2)

* Use caution with negative exponents!!!

Example: Dividing Powers with the Same Base

Divide. Write the quotient as one power.

Example: Dividing Powers with the Same Base

Divide. Write the quotient as one power.

Can the following be simplified? If yes, write an equivalent expression. If not, explain why not.

Can the following be simplified? If yes, write an equivalent expression. If not, explain why not.

Can the following be simplified? If yes, write an equivalent expression. If not, explain why not.

Can the following be simplified? If yes, write an equivalent expression. If not, explain why not.

Example: Multiplication & Division with Exponents

Simplify. Express your answer as a single term, without a denominator

𝑞4

𝑞5 ∙𝑞3

Example: Multiplication & Division with Exponents

Simplify. Express your answer as a single term, without a denominator

𝑑3 ∙𝑑9

𝑑5

Example: Multiplication & Division with Exponents

Simplify. Express your answer as a single term, without a denominator

Example: Multiplication & Division with Exponents

Simplify. Express your answer as a single term, without a denominator

GOAL FOR TODAY…….

Goal: Be able to apply

properties of exponents to generate equivalent numerical expressions

Agenda: Review –

Multiplication Property

Division Property

WRAP UP

If you have the same bases, add the exponents when multiplying.

If you have the same bases, subtract the exponents when dividing