Practice Objectives
- Demonstrate the ability to simplify expressions using the quotient rule for exponents
- Demonstrate the ability to simplify expressions using the power rules for exponents
Practice Simplifying Expressions Using the Quotient Rule for Exponents
Instructions:
Answer 7/10 questions correctly to pass.
Simplify each, assume all variables represent nonzero real numbers.
Problem:
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The Quotient Rule for Exponents:
$$\frac{a^{m}}{a^{n}} = a^{m - n}$$
- For any nonzero real number a and any integers m and n:
- Keep the base the same and subtract the exponents
The Power Rule for Exponents:
$$\left(a^m\right)^{n} = a^{mn}$$
- For any integers m and n:
- Keep the base the same and multiply the exponents
Step-by-Step:
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