Multiplying Powers Worksheet
Grade 11 worksheet on multiplying powers, including simplifying expressions, identifying rules, and solving problems involving exponents.
Includes
Standards
Topics
Multiplying Powers
Name:
Date:
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
Simplify the following expressions using the rules of exponents:
1. (x^3)(x^5)
2. (2y^4)(3y^2)
3. (-4a^2b^3)(5ab^6)
Complete the following statements about multiplying powers:
4. When multiplying powers with the same base, you the exponents.
5. The product rule for exponents states that a^m * a^n = .
6. To multiply (x^2y^3)(xy^4), you combine the powers of x to get x^3 and the powers of y to get .
Choose the correct answer for each question:
7. Which of the following is equivalent to (m^7)(m^-2)?
m^9
m^5
m^-14
1/m^5
8. Simplify: (4x^5)(2x^3y)
8x^15y
8x^8y
6x^8y
6x^15y
Determine if the following statements are true or false:
9. (a^2b)(a^3b^2) = a^5b^3
True
False
10. The expression (p^3)^2 is equivalent to (p^3)(p^2).
True
False
Solve the following problem. Show all your steps.
11. The area of a rectangle is given by the expression (6x^4y^2) square units. If the length of the rectangle is (2x^2y) units, what is the width?
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