Properties of exponents - zero exponent

1. Lessons Folder – Complete the BSN lesson and utilize the other
resources as needed
MAP Testing Continues
No “Live” Class on Wednesday – Watch the recording

2. Raising a Power to a Power
• Simplify and evaluate expressions of raising a power to a
power of integer exponents.

3. Goal:
 Be able to apply
properties of exponents
to generate equivalent
numerical expressions
Agenda:
 Review – Power Rule
 Evaluate expressions with a zero
exponent

13. Be aware of the following situations…..
(𝑥 + 𝑦) 𝑛
(𝑥 − 𝑦) 𝑛

14. Goal:
 Be able to apply
properties of exponents
to generate equivalent
numerical expressions
Agenda:
 Review – Power Rule
 Evaluate expressions with a zero
exponent

15. What is 30?

16. What is 30?
Does 30 = 0?
• we know that 34
∙ 30
= 34
because we add the exponents when the
bases are the same
• But this is a contradiction because we also know that anything we
multiply by zero is zero

17. What is 30?
Does 30 = 3?
• If 30
= 3, 𝑡ℎ𝑒𝑛 34
∙ 30
= (3 ∙ 3 ∙ 3 ∙ 3) ∙ 3
• But this is a contradiction because we can see that this is 35 but should
be 34 based on the rule for multiplying exponents

20.  Simplify the following expression as much as possible
410
410
∙ 70

21. The property that we
looked at today tells us
that any base raised to the
zero power is equal to 1
What now?
• Utilize the resources in the lessons
folder
• Stop into live help if you need
assistance with this lesson or any
other lesson