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Worksheet: Powers of Monomials

Q1:

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

  • A 3 π‘Ž 𝑏 1 8 8
  • B 9 π‘Ž 𝑏 9 4
  • C 9 π‘Ž 𝑏 8 1 1 6
  • D 9 π‘Ž 𝑏 1 8 8
  • E 6 π‘Ž 𝑏 1 8 8

Q2:

What is the volume of a cube of edge length 5 π‘₯ 𝑦 2 2 cm?

  • A 1 5 π‘₯ 𝑦 2 2 cm3
  • B 2 5 π‘₯ 𝑦 4 4 cm3
  • C 1 2 5 π‘₯ 𝑦 2 2 cm3
  • D 1 2 5 π‘₯ 𝑦 6 6 cm3

Q3:

Simplify ο€Ή π‘₯  1 0 2 .

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

Q4:

Which of the following is equal to  ο€Ό βˆ’ 2 3   3 5 ?

  • A βˆ’ 2 3 1 5
  • B ο€Ό 2 3  8
  • C βˆ’ 2 3 3 5
  • D ο€Ό βˆ’ 2 3  1 5
  • E βˆ’ 2 3 5 3

Q5:

Write expressions for the area and perimeter of a square of side length 4 π‘₯ cm.

  • Aarea = 4 π‘₯ 2 2 c m , perimeter = 1 6 π‘₯ c m
  • Barea = 1 6 π‘₯ c m 2 , perimeter = 8 π‘₯ c m
  • Carea = 1 6 π‘₯ c m 2 , perimeter = 1 6 π‘₯ 2 c m
  • Darea = 1 6 π‘₯ 2 2 c m , perimeter = 1 6 π‘₯ c m

Q6:

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

  • A
  • B
  • C
  • D
  • E