Zero exponents (power rule continued)
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The document discusses raising powers to powers of integer exponents and contains the following key points: 1) It reviews the power rule and evaluating expressions with a zero exponent. 2) It examines what 30 and 310 equal, showing that 30 cannot equal 0 or 3 due to contradictions with the rules of exponents. 3) It asks students to simplify the expression 410 ∙ 710 using the property that any base raised to the zero power is equal to 1.
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Zero exponents (power rule continued)
- 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