Worksheet: Simplifying Monomials Using the Product Rule

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

Q1:

Simplify 𝑏 × 𝑏 5 2 .

  • A 𝑏 3
  • B 𝑏 1 0
  • C 𝑏 8
  • D 𝑏 7

Q2:

Simplify 𝑥 × 𝑥 5 2 .

  • A 𝑥 1 0
  • B 7 𝑥
  • C 2 𝑥 7
  • D 𝑥 7
  • E 7 𝑥 2

Q3:

Simplify 𝑏 × 𝑎 × 𝑏 × 𝑎 4 4 2 5 .

  • A 𝑎 × 𝑏 1 2 9
  • B 𝑏 × 𝑎 1 2 9
  • C 𝑏 × 𝑎 9 6
  • D 𝑏 × 𝑎 6 9

Q4:

Write 2 × 3 6 𝑛 𝑛 in the form 𝑎 𝑛 .

  • A 3 6 𝑛
  • B 6 𝑛
  • C 5 𝑛
  • D 1 9 2 𝑛

Q5:

Simplify 𝑎 𝑏 × 𝑏 𝑐 4 8 6 .

  • A 𝑎 𝑏 𝑐 4 1 2 6
  • B 𝑎 𝑏 𝑐 4 2 6
  • C 𝑎 𝑏 𝑐 1 2 2 1 0
  • D 𝑎 𝑏 𝑐 4 4 6
  • E 𝑎 𝑏 𝑐 4 7 6

Q6:

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

  • A 2 0 3
  • B 2 0 6
  • C 9 1 8
  • D 2 0 1 8
  • E 9 6

Q7:

Simplify 𝑥 𝑦 𝑦 × 𝑦 𝑥 4 2 7 4 3 .

  • A 𝑥 𝑦 1 4
  • B 𝑥 𝑦 3
  • C 𝑥 𝑦 3 7
  • D 𝑥 𝑦 7

Q8:

Simplify ( 2 𝑐 ) × 2 3 𝑐 3 2 .

  • A 3 2 𝑐 3
  • B 4 𝑐 3
  • C 1 6 𝑐 9
  • D 3 2 𝑐 9
  • E 3 2 𝑐 9 3 2

Q9:

Simplify 𝑥 × 𝑥 2 4 .

  • A 𝑥 8
  • B 6 𝑥
  • C 2 𝑥 6
  • D 𝑥 6
  • E 6 𝑥 2

Q10:

Simplify 𝑥 × 𝑥 7 8 .

  • A 𝑥 5 6
  • B 1 5 𝑥
  • C 2 𝑥 1 5
  • D 𝑥 1 5
  • E 1 5 𝑥 2

Q11:

Simplify 𝑏 × 𝑎 × 𝑏 × 𝑎 7 3 3 5 .

  • A 𝑎 × 𝑏 2 0 8
  • B 𝑏 × 𝑎 2 0 8
  • C 𝑏 × 𝑎 8 1 0
  • D 𝑏 × 𝑎 1 0 8

Q12:

Simplify 𝑏 × 𝑎 × 𝑏 × 𝑎 5 2 3 5 .

  • A 𝑎 × 𝑏 2 4 7
  • B 𝑏 × 𝑎 2 4 7
  • C 𝑏 × 𝑎 7 8
  • D 𝑏 × 𝑎 8 7

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