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Worksheet: Simplifying Monomials Using the Product Rule

Q1:

Simplify 𝑏 Γ— 𝑏 5 2 .

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

Q2:

Simplify π‘₯ Γ— π‘₯ 2 4 .

  • A π‘₯ 8
  • B 6 π‘₯
  • C 2 π‘₯ 6
  • D π‘₯ 6
  • E 6 π‘₯ 2

Q3:

Simplify π‘₯ Γ— π‘₯ 5 2 .

  • A π‘₯ 1 0
  • B 7 π‘₯
  • C 2 π‘₯ 7
  • D π‘₯ 7
  • E 7 π‘₯ 2

Q4:

Simplify π‘₯ Γ— π‘₯ 7 8 .

  • A π‘₯ 5 6
  • B 1 5 π‘₯
  • C 2 π‘₯ 1 5
  • D π‘₯ 1 5
  • E 1 5 π‘₯ 2

Q5:

Simplify 𝑏 Γ— π‘Ž Γ— 𝑏 Γ— π‘Ž 4 4 2 5 .

  • A π‘Ž Γ— 𝑏 1 2 9
  • B 𝑏 Γ— π‘Ž 1 2 9
  • C 𝑏 Γ— π‘Ž 9 6
  • D 𝑏 Γ— π‘Ž 6 9

Q6:

Simplify 𝑏 Γ— π‘Ž Γ— 𝑏 Γ— π‘Ž 7 3 3 5 .

  • A π‘Ž Γ— 𝑏 2 0 8
  • B 𝑏 Γ— π‘Ž 2 0 8
  • C 𝑏 Γ— π‘Ž 8 1 0
  • D 𝑏 Γ— π‘Ž 1 0 8

Q7:

Simplify 𝑏 Γ— π‘Ž Γ— 𝑏 Γ— π‘Ž 5 2 3 5 .

  • A π‘Ž Γ— 𝑏 2 4 7
  • B 𝑏 Γ— π‘Ž 2 4 7
  • C 𝑏 Γ— π‘Ž 7 8
  • D 𝑏 Γ— π‘Ž 8 7

Q8:

Write 2 Γ— 3 6 𝑛 𝑛 in the form π‘Ž 𝑛 .

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

Q9:

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

Q10:

Simplify ο€» π‘Ž 𝑏  Γ— 𝑏 𝑐 4 8 6 .

  • A π‘Ž 𝑏 𝑐 4 1 2 6
  • B π‘Ž 𝑏 𝑐 4 2 6
  • C π‘Ž 𝑏 𝑐 1 2 2 1 0
  • D π‘Ž 𝑏 𝑐 4 4 6
  • E π‘Ž 𝑏 𝑐 4 7 6

Q11:

Simplify π‘₯ 𝑦 𝑦 Γ— ο€Ύ 𝑦 π‘₯  4 2 7 4 3 .

  • A π‘₯ 𝑦 1 4
  • B π‘₯ 𝑦 3
  • C π‘₯ 𝑦 3 7
  • D π‘₯ 𝑦 7

Q12:

Simplify ( βˆ’ 2 𝑐 ) Γ— ο€Ό 2 3 𝑐  3 2 .

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