Exponent Rules Unit Test

Answer 1

Sure! I can help you create a unit test on exponent rules. Below are various types of questions that you can use, including multiple-choice, short answer, and true/false questions. Feel free to modify them as per your needs.

Exponent Rules Unit Test

Name: _______________________
Date: ________________________

Part 1: Multiple Choice

1. What is \(a^m \cdot a^n\)? a) \(a^{m+n}\)
   b) \(a^{m-n}\)
   c) \(a^{m \times n}\)
   d) \(a^{mn}\)

2. What is \(\frac{a^m}{a^n}\)? a) \(a^{m+n}\)
   b) \(a^{m-n}\)
   c) \(a^{mn}\)
   d) \(a^{n-m}\)

3. What is \((a^m)^n\)? a) \(a^{m+n}\)
   b) \(a^{mn}\)
   c) \(a^{m/n}\)
   d) \(a^{m-n}\)

4. What is \(a^0\) (where \(a \neq 0\))? a) 0
   b) 1
   c) a
   d) undefined

5. What is \(a^{-m}\)? a) \(a^m\)
   b) \(-a^m\)
   c) \(\frac{1}{a^m}\)
   d) 0

Part 2: Short Answer

1. Simplify the expression: \(x^3 \cdot x^5\)
   Answer: _______________

2. Simplify the expression: \(\frac{y^8}{y^3}\)
   Answer: _______________

3. Simplify the expression: \((2^3)^2\)
   Answer: _______________

4. Simplify the expression: \( (3xy^2)(4x^2y) \)
   Answer: _______________

5. Simplify \( \frac{a^2b^3}{ab^2} \)
   Answer: _______________

Part 3: True / False

1. \( a^m \cdot a^n = a^{m+n} \) is a true statement.
   True / False

2. \( a^{-2} = \frac{1}{a^2} \) is a true statement.
   True / False

3. \( \frac{a^m}{a^n} = a^{m+n} \) is correct.
   True / False

4. \( (xy)^m = x^m \cdot y^m \) is always true.
   True / False

5. \( (a^m \cdot b^m)^n = a^{mn} \cdot b^{mn} \) is true.
   True / False

Answer Key

Part 1: Multiple Choice

1. a) \(a^{m+n}\)
2. b) \(a^{m-n}\)
3. b) \(a^{mn}\)
4. b) 1
5. c) \(\frac{1}{a^m}\)

Part 2: Short Answer

1. \(x^8\)
2. \(y^5\)
3. \(2^6 = 64\)
4. \(12x^3y^3\)
5. \(ab\)

Part 3: True / False

1. True
2. True
3. False
4. True
5. True

Feel free to use this template for your unit test on exponent rules! Let me know if you would like to adjust anything or if you need more questions.