Worksheet: Powers of Monomials

In this worksheet, we will practice simplifying algebraic expressions as monomials involving single and multiple variables using the power of a power property.

Q1:

Which of the following is equal to 3?

  • A 3
  • B 3
  • C 3
  • D 3
  • E 3

Q2:

Simplify (𝑥).

  • A 𝑥
  • B 𝑥
  • C 𝑥
  • D 𝑥

Q3:

Simplify 𝑥𝑦.

  • A 𝑥 𝑦
  • B 𝑥 𝑦
  • C 𝑥 𝑦
  • D 𝑥 𝑦

Q4:

What is the value of 6+6?

  • A1
  • B72
  • C0
  • D6

Q5:

Is it true that 𝑎=𝑎?

  • AYes
  • BNo

Q6:

Which of the following is equal to 4?

  • A 4
  • B 4
  • C 4
  • D 4

Q7:

Write an equivalent expression to 𝑥𝑦𝑧 that does not include brackets.

  • A 𝑥 𝑦 𝑧
  • B 𝑥 𝑦 𝑧
  • C 𝑥 𝑦 𝑧
  • D 𝑥 𝑦 𝑧
  • E 3 𝑥 𝑦 𝑧

Q8:

Simplify 𝑎𝑏𝑐𝑑.

  • A 3 𝑎 𝑏 𝑐 𝑑
  • B 𝑎 𝑏 𝑐 𝑑
  • C 𝑎 𝑏 𝑐 𝑑
  • D 𝑎 𝑏 3 𝑐 𝑑

Q9:

Simplify (𝑎÷𝑏).

  • A 𝑎 𝑏
  • B 𝑎 𝑏
  • C 𝑎 𝑏
  • D 𝑎 𝑏

Q10:

Simplify 𝑥𝑦.

  • A 𝑥 𝑦
  • B 𝑥 𝑦
  • C 4 𝑥 𝑦
  • D 𝑥 4 𝑦

Q11:

Simplify 𝑥𝑦𝑧.

  • A 3 𝑥 𝑦 𝑧
  • B 𝑥 𝑦 3 𝑧
  • C 𝑥 𝑦 𝑧
  • D 𝑥 𝑦 𝑧

Q12:

Simplify 𝑥.

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

Q13:

What is the volume of a cube of edge length 5𝑥𝑦?

  • A 1 5 𝑥 𝑦
  • B 1 2 5 𝑥 𝑦
  • C 2 5 𝑥 𝑦
  • D 1 2 5 𝑥 𝑦

Q14:

Write expressions for the area and perimeter of a square of side length 4𝑥 cm.

  • Aarea =4𝑥cm, perimeter =16𝑥cm
  • Barea =16𝑥cm, perimeter =16𝑥cm
  • Carea =16𝑥cm, perimeter =16𝑥cm
  • Darea =16𝑥cm, perimeter =8𝑥cm

Q15:

Write a monomial that is equal to the area of this square.

  • A 9 𝑎 𝑏
  • B 9 𝑎 𝑏
  • C 3 𝑎 𝑏
  • D 6 𝑎 𝑏
  • E 9 𝑎 𝑏

Q16:

Express the area of a square with sides of length 8𝑎𝑏 as a monomial.

  • A 1 6 𝑎 𝑏
  • B 8 𝑎 𝑏
  • C 6 4 𝑎 𝑏
  • D 8 𝑎 𝑏
  • E 6 4 𝑎 𝑏

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