Worksheet: Evaluating Expressions: Exponents

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

Q1:

Given that 2=4, determine the value of 8×2×12.

Q2:

Given that 73=73, find the value of 73.

  • A27343
  • B499
  • C73
  • D949
  • E34327

Q3:

Given that 2=8=512, determine the value of 𝑥𝑦.

Q4:

Given that 4=14, find the value of 𝑥.

Q5:

Let 𝑙=12(6+6) and 𝑚=12(66). Is it true that 𝑙𝑚=1?

  • Ano
  • Byes

Q6:

What is the value of 9×3×13 if 3=8?

Q7:

If 9=4 and 99=5, what is the value of 9?

  • A209
  • B365
  • C445
  • D45
  • E20

Q8:

If the expression 23 is rewritten in the form 𝑃, what is the value of 𝑃?

  • A32
  • B43
  • C43
  • D23
  • E92

Q9:

Given that 7=4, find the value of 7.

  • A28
  • B47
  • C74
  • D14
  • E17

Q10:

Given that 2=3, find the value of 2.

Q11:

If 9=6, what is 9?

  • A6
  • B19
  • C32
  • D23
  • E16

Q12:

Calculate the numerical value of 54×54 when 𝑥=7 and 𝑦=4.

  • A2516
  • B12564
  • C8125
  • D64125

Q13:

If 𝑥=9 and 𝑦=1, what is 𝑥?

  • A19
  • B9
  • C19
  • D1
  • E9

Q14:

Evaluate 𝑥𝑧, where 𝑥=4 and 𝑧=3.

Q15:

Evaluate 3+5 if 𝑥=2.

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