Worksheet: Powers of Monomials

In this worksheet, we will practice simplifying the powers of monomials involving single and multiple variables.

Q1:

What is the volume of a cube of edge length 5 𝑥 𝑦 ?

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

Q2:

Which of the following is equal to 2 3 3 5 ?

  • A 2 3 1 5
  • B 2 3 8
  • C 2 3 3 5
  • D 2 3 1 5
  • E 2 3 5 3

Q3:

Simplify 𝑥 1 0 2 .

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

Q4:

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

  • A 3 𝑎 𝑏 1 8 8
  • B 9 𝑎 𝑏 9 4
  • C 9 𝑎 𝑏 8 1 1 6
  • D 9 𝑎 𝑏 1 8 8
  • E 6 𝑎 𝑏 1 8 8

Q5:

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

  • Aarea = 4 𝑥 2 2 c m , perimeter = 1 6 𝑥 c m
  • Barea = 1 6 𝑥 c m 2 , perimeter = 8 𝑥 c m
  • Carea = 1 6 𝑥 c m 2 , perimeter = 1 6 𝑥 2 c m
  • Darea = 1 6 𝑥 2 2 c m , perimeter = 1 6 𝑥 c m

Q6:

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

  • A
  • B
  • C
  • D
  • E

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