Worksheet: Simplifying Monomials

In this worksheet, we will practice simplifying algebraic expressions as monomials 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 𝑥 𝑦 .

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

Q4:

Which of the following is equal to 3 ( ) ?

  • A 3
  • B 3
  • C 3
  • D 3

Q5:

Simplify 3 3 .

  • A3
  • B0
  • C6
  • D1

Q6:

What is the value of 6 + 6 ?

  • A6
  • B1
  • C0
  • D72

Q7:

Simplify 4 𝑥 𝑦 × 𝑥 𝑦 2 𝑥 𝑦 .

  • A 2 𝑥 𝑦
  • B 4 𝑥 𝑦
  • C 2 𝑥 𝑦
  • D 2 𝑥 𝑦
  • E 4 𝑥 𝑦

Q8:

Calculate 1 0 × 2 5 × 4 2 0 × 5 .

Q9:

Calculate ( 1 ) ( 1 ) .

Q10:

Which is greater, ( 9 ) 3 5 or ( 9 ) 8 1 0 ?

  • A ( 9 ) 8 1 0
  • B ( 9 ) 3 5

Q11:

Which of the following has the same value as 2 3 ( 2 ) 3 ?

  • A 1 6 2 4
  • B 2 3 6
  • C 4 9 3
  • D 2 3 8 8
  • E 2 3 × 2 3 2 3

Q12:

Using the power of a power rule, find the expression that is equivalent to 1 1 .

  • A 1 1
  • B 1 1
  • C 1 1
  • D 1 1

Q13:

Is it true that 𝑎 = 𝑎 𝑘 𝑙 𝑙 𝑘 ?

  • AYes
  • BNo

Q14:

Which of the following is equal to 1 2 ?

  • A 1 2
  • B 1 2
  • C 1 , 7 2 8
  • D 1 2
  • E 1 4 4

Q15:

Which of the following is equal to 3 0 ( 3 ) 2 ?

  • A 3 0 5
  • B 3 0 6
  • C 3 0 8
  • D 3 0 9

Q16:

Which of the following is equal to 4 ?

  • A 4
  • B 4
  • C 4
  • D 4

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