Houston Community College Exponents and Examples Questions

Question Description

In your own words, answer the following questions. This is an opportunity for you to share your thoughts on important concepts from this module. After posting your initial post, carefully read through your classmates’ posts and thoughtfully respond to at least two of your classmates. By reviewing your classmates’ posts, do you find that you agree/disagree with their thoughts? Did they have ideas that you found helpful or that you had not considered yourself?

This is a “post first” discussion. You will only see your classmates’ postings once you have submitted your initial post. Please be sure to check your posts for spelling and grammar. You must complete your initial post and reply to at least two of your classmates’ postings as scheduled for credit.

1. Explain the difference between –xⁿ and (-x)ⁿ, where n is an integer? Give an example (find specific values for x and n) where –xⁿ = (-x)ⁿ and another example where
–xⁿ ≠ (-x)ⁿ.

2. State each of the following rules of exponents and give an example of each rule to show how the rule is derived. (a) Product Rule (b) Power Rule (c) Quotient Rule

3. Explain/show why (a + b)² ≠ a² + b².

Requirements:

Answer all 3 questions and give an example.

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