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Worksheet: Simplifying Monomials

Q1:

Which of the following is equal to 4 2 2 7 ?

  • A 4 1 8
  • B 4 1 1
  • C 4 1 1 2
  • D 4 2 8

Q2:

Which of the following is equal to 3 2 4 5 ?

  • A 3 1 1
  • B 3 3 0
  • C 3 1 8
  • D 3 4 0
  • E 3 1 2 0

Q3:

Simplify ( 𝑥 ) 3 2 .

  • A 𝑥 5
  • B 𝑥 9
  • C 𝑥 8
  • D 𝑥 6

Q4:

Simplify ( 𝑥 ) 3 4 .

  • A 𝑥 7
  • B 𝑥 8 1
  • C 𝑥 6 4
  • D 𝑥 1 2

Q5:

Simplify ( 𝑥 ) 2 6 .

  • A 𝑥 8
  • B 𝑥 6 4
  • C 𝑥 3 6
  • D 𝑥 1 2

Q6:

Simplify 𝑥 𝑦 6 3 5 .

  • A 𝑥 𝑦 1 5 3 0
  • B 𝑥 𝑦 1 1 8
  • C 𝑥 𝑦 8 1 1
  • D 𝑥 𝑦 3 0 1 5

Q7:

Simplify 𝑥 𝑦 7 2 3 .

  • A 𝑥 𝑦 6 2 1
  • B 𝑥 𝑦 1 0 5
  • C 𝑥 𝑦 5 1 0
  • D 𝑥 𝑦 2 1 6

Q8:

Simplify 3 3 1 1 8 8 1 1 .

  • A3
  • B0
  • C6
  • D1

Q9:

What is the value of 6 + 6 2 2 2 2 ?

  • A6
  • B1
  • C0
  • D72

Q10:

Simplify 4 𝑥 𝑦 × 𝑥 𝑦 2 𝑥 𝑦 5 3 3 5 2 3 .

  • A 2 𝑥 𝑦 1 0 5
  • B 4 𝑥 𝑦 6 5
  • C 2 𝑥 𝑦 6 1 1
  • D 2 𝑥 𝑦 6 5
  • E 4 𝑥 𝑦 6 5

Q11:

Calculate 1 0 × 2 5 × 4 2 0 × 5 5 2 2 5 .

Q12:

Calculate ( 1 ) ( 1 ) 1 5 1 6 4 5 .

Q13:

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

  • A ( 9 ) 8 1 0
  • B ( 9 ) 3 5

Q14:

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

Q15:

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

  • A 3 7
  • B 3 5 2
  • C 3 1 0
  • D 3 2 5

Q16:

Using the power of a power rule, find the expression that is equivalent to 1 1 8 8 .

  • A 1 1 4 8 4
  • B 1 1 8 8
  • C 1 1 2 2 6 6
  • D 1 1 4 2 2