Multiplying Powers Worksheet

Practice multiplying powers with the same base and different bases, including negative and fractional exponents, suitable for Grade 12 mathematics.

Grade 12 Math Number SenseExponentsMultiplying Powers

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Includes

Multiple ChoiceFill in the BlanksShort AnswerTrue / FalseCustom

Standards

CCSS.MATH.CONTENT.HSA.SSE.B.3.CCCSS.MATH.CONTENT.HSN.RN.A.2

Topics

mathgrade 12exponentspowersalgebra

7 sections · Free to use · Printable

Multiplying Powers

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Simplify each expression. Show all your work. Remember the rules for multiplying powers.

1. Which of the following is equivalent to (3x^2)(4x^5)?

12x^7

12x^10

7x^7

7x^10

2. Simplify (2a^3b^-2)(5a^-1b^4).

10a^2b^2

10a^4b^-6

7a^2b^2

7a^4b^-6

3. When multiplying powers with the same base, you the exponents.

4. The product of x^a and x^b is x to the power of .

5. Simplify the expression: (m^(1/2))(m^(3/2)).

6. Explain why (2^3)(2^4) = 2^7.

7. (x^5)(y^3) can be simplified to (xy)^8.

True

False

8. (a^-2)(a^5) simplifies to a^3.

True

False

9. A rectangular prism has a length of 2x^3 units, a width of 3x^2 units, and a height of x^4 units. What is the volume of the prism?

10. If the area of a square is (5y^4)^2, what is the length of one side of the square?