Worksheet: Simplifying Expressions: Negative and Fractional Exponents

In this worksheet, we will practice using the rules of negative and fractional indices to solve problems.

Q1:

Which of the following is equal to ×?

  • A35
  • B35
  • C35
  • D35
  • E35

Q2:

Simplify 6×32.

  • A136
  • B36
  • C43
  • D432
  • E324

Q3:

Evaluate 0.2.

Q4:

Evaluate 863.

  • A25627
  • B274
  • C427
  • D54
  • E3227

Q5:

Simplify 8.

  • A18
  • B8
  • C18
  • D8
  • E64

Q6:

Which of the following is equal to 6?

  • A1,296
  • B6
  • C6
  • D36
  • E366

Q7:

Find the value of 9.

Q8:

Which of the following expressions is equal to (2)×(2)?

  • A2
  • B(2)
  • C2
  • D4
  • E2

Q9:

Simplify 𝑚𝑛2𝑚𝑛.

  • A18𝑚𝑛
  • B𝑚8𝑛
  • C8𝑚𝑛
  • D𝑚𝑛8
  • E8𝑚𝑛

Q10:

Which of the following is equal to 109𝑥𝑦?

  • A109𝑥𝑦
  • B10𝑥𝑦9
  • C109𝑥𝑦
  • D910𝑥𝑦

Q11:

Let 𝑥=72. Which of the following numbers is rational?

  • A𝑥
  • B𝑥
  • C𝑥
  • D𝑥
  • E𝑥

Q12:

Which of the following has the same value as 3÷3?

  • A3
  • B12
  • C3
  • D1
  • E3

Q13:

Which of the following is equal to (3)×(3)?

  • A(3)
  • B13
  • C3
  • D19
  • E13

Q14:

Which of the following expressions has the same value as 3?

  • A13
  • B3
  • C19
  • D3
  • E3

Q15:

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

  • A2
  • B(2)
  • C(2)
  • D(2)
  • E2

Q16:

Which of the following expressions has the same value as 34?

  • A34
  • B43
  • C43
  • D43
  • E34

Q17:

Which of the following is equal to 135×135?

  • A2564
  • B58
  • C83
  • D58
  • E85

Q18:

Which of the following expressions has the same value as 34?

  • A34
  • B34
  • C34
  • D34
  • E34

Q19:

Which of the following is equal to 312?

  • A449
  • B314
  • C494
  • D144
  • E612

Q20:

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

  • A2
  • B12
  • C12
  • D2
  • E2

Q21:

Which of the following is equal to 34×34?

  • A34
  • B113
  • C2431,024
  • D5451729
  • E916

Q22:

Which of the following is equal to 13×13?

  • A127
  • B19
  • C13
  • D27
  • E59,049

Q23:

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

  • A1256
  • B256
  • C14
  • D4
  • E4

Q24:

Which of the following has the same value as 34÷34?

  • A34
  • B34
  • C34
  • D43
  • E34

Q25:

Which of the following has the same value as 11?

  • A134
  • B134
  • C47
  • D74
  • E74

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