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Worksheet: Roots of Monomials

Q1:

Calculate 9 × 9 9 × 9 4 2 3 5 .

  • A 9
  • B 1 8 1
  • C 81
  • D 1 9
  • E 1 9 7

Q2:

Simplify 6 4 𝑥 3 7 2 .

  • A 8 𝑥 3 6
  • B 4 𝑥 2 4
  • C 2 𝑥 7 2
  • D 2 𝑥 1 2
  • E 6 4 𝑥 1 2

Q3:

Simplify 3 3 5 1 2 𝑥 6 3 .

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

Q4:

Which of the following has the same value as 3 7 2 9 𝑚 𝑛 1 2 2 1 ?

  • Athe expression 2 4 3 𝑚 𝑛 4 7
  • Bthe length of one side of a square whose area is 7 2 9 𝑚 𝑛 1 2 2 1
  • Cthe expression 7 2 9 𝑚 𝑛 1 2 2 1
  • Dthe length of one side of a cube whose volume is 7 2 9 𝑚 𝑛 1 2 2 1

Q5:

Simplify: 3 6 4 𝑚 3 .

  • A 4 𝑚 3
  • B 6 4 𝑚
  • C 1 6 𝑚
  • D 4 𝑚
  • E 1 6 𝑚 3

Q6:

Simplify 2 6 4 𝑥 𝑦 + 8 𝑥 4 6 8 3 .

  • A ( 6 𝑥 𝑦 ) 2 𝑥 2
  • B ( 4 𝑥 𝑦 ) 2 𝑥 2
  • C ( 2 𝑥 ) 2 𝑥
  • D ( 4 𝑥 𝑦 + 2 𝑥 ) 2 𝑥 2
  • E ( 4 𝑥 𝑦 + 2 𝑥 ) 2 𝑥 2 4

Q7:

Calculate 1 4 × 1 4 .

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

Q8:

Simplify 2 6 4 𝑥 𝑦 + 2 𝑥 4 6 8 .

  • A 4 𝑥 𝑦 + 2 𝑥 2
  • B 4 𝑥 𝑦 + 1 2 𝑥 2
  • C ( 4 𝑥 𝑦 + 1 ) 2 𝑥 2 4
  • D ( 4 𝑥 𝑦 + 1 ) 2 𝑥 2
  • E 2 𝑥