Rules of Exponents
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Objective
I can apply the rules of exponents to simplify algebraic expressions.
Part 1 of 4
Warm-up video
Mathispower4u · 6:00
We don't generate video — this one is by Mathispower4u on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.
Part 2 of 4
Key concepts
3 concepts
- 1
The quotient rule of exponents states that when dividing and the bases are the same, you subtract the exponents.
- 2
To write an expression with a negative exponent using a positive exponent, you write 1 over the base raised to the positive power.
- 3
When simplifying a quotient with a product in the numerator, first add the exponents of the product using the product rule before applying the quotient rule.
Part 3 of 4
Practice
10 questions
Simplify the expression m^8 / m^3. Write your answer with a positive exponent.
Simplify the expression d^3 / d^7. Write your answer with a positive exponent.
Part 4 of 4
Exit ticket
Quick comprehension check
“Simplify the expression (x⁵ * x³) / x⁹ using the rules of exponents. Write your final answer with a positive exponent.”
Sample answer included in the free materials
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Teacher Guide
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