Worksheet: Evaluating Algebraic Expressions with Variable Exponents

In this worksheet, we will practice evaluating algebraic expressions with variable exponents.

Q1:

Which of these equations is satisfied by 𝑥 = 2 3 and 𝑦 = 3 3 2 3 2 ?

  • A 𝑥 = 𝑦
  • B 𝑥 = 𝑦
  • C 𝑥 = 1 𝑦
  • D 𝑥 = 1 𝑦

Q2:

Given that 2 = 4 , determine the value of 8 × 2 × 1 2 .

  • A 1 9 6
  • B512
  • C 1 5 1 2
  • D96

Q3:

Given that 7 3 = 7 3 , find the value of 7 3 .

  • A 3 4 3 2 7
  • B 7 3
  • C 4 9 9
  • D 2 7 3 4 3
  • E 9 4 9

Q4:

Given that 2 = 8 = 5 1 2 , determine the value of 𝑥 𝑦 .

Q5:

Given that 4 = 1 4 , find the value of 𝑥 .

Q6:

Let 𝑙 = 1 2 ( 6 + 6 ) and 𝑚 = 1 2 ( 6 6 ) . Is it true that 𝑙 𝑚 = 1 ?

  • Ayes
  • Bno

Q7:

What is the value of 9 × 3 × 1 3 if 3 = 8 ?

Q8:

If 9 = 4 and 9 9 = 5 , what is the value of 9 ?

  • A 4 5
  • B 20
  • C 4 4 5
  • D 3 6 5
  • E 2 0 9

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