Worksheet: Simplifying Monomials: Product Rule

In this worksheet, we will practice simplifying monomials using the multiplication rule of exponents.

Q1:

Simplify 𝑏×𝑏.

  • A𝑏
  • B𝑏
  • C𝑏
  • D𝑏

Q2:

Simplify 𝑥×𝑥.

  • A𝑥
  • B7𝑥
  • C7𝑥
  • D2𝑥
  • E𝑥

Q3:

Simplify 𝑏×𝑎×𝑏×𝑎.

  • A𝑏×𝑎
  • B𝑏×𝑎
  • C𝑎×𝑏
  • D𝑏×𝑎

Q4:

Write 2×3 in the form 𝑎.

  • A36
  • B6
  • C5
  • D192

Q5:

If 𝑑=4, which of the following is equal to the volume of this cube?

  • A20
  • B20
  • C9
  • D9
  • E20

Q6:

Simplify 𝑥×𝑥.

  • A𝑥
  • B6𝑥
  • C6𝑥
  • D2𝑥
  • E𝑥

Q7:

Simplify 𝑥×𝑥.

  • A𝑥
  • B15𝑥
  • C15𝑥
  • D2𝑥
  • E𝑥

Q8:

Simplify 𝑏×𝑎×𝑏×𝑎.

  • A𝑏×𝑎
  • B𝑏×𝑎
  • C𝑎×𝑏
  • D𝑏×𝑎

Q9:

Simplify 𝑏×𝑎×𝑏×𝑎.

  • A𝑏×𝑎
  • B𝑏×𝑎
  • C𝑎×𝑏
  • D𝑏×𝑎

Q10:

Simplify 𝑥𝑥.

  • A𝑥𝑥
  • B𝑥𝑥
  • C𝑥
  • D𝑥

Q11:

Fill in the blank: 2×𝑥×2×𝑥=2×𝑥.

Q12:

Fill in the blank: 2𝑥×6𝑥=.

  • A12𝑥
  • B12𝑥
  • C12𝑥
  • D8𝑥
  • E8𝑥

Q13:

True or False: The product rule for exponents is 𝑥×𝑥=𝑥×.

  • AFalse
  • BTrue

Q14:

Fill in the blank: 2×2=2.

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