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Lesson: Simplifying Monomials Using the Product Rule

In this lesson, we will learn how to simplify monomials using the multiplication rule of exponents.

Sample Question Videos

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Worksheet • 12 Questions • 3 Videos

Q1:

Simplify 𝑏 Γ— 𝑏 5 2 .

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

Q2:

Simplify π‘₯ Γ— π‘₯ 5 2 .

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

Q3:

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

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

Q4:

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

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

Q5:

Simplify ο€» π‘Ž 𝑏  Γ— 𝑏 𝑐 4 8 6 .

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

Q6:

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

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

Q7:

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

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

Q8:

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

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

Q9:

Simplify π‘₯ Γ— π‘₯ 2 4 .

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

Q10:

Simplify π‘₯ Γ— π‘₯ 7 8 .

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

Q11:

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

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

Q12:

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

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