Worksheet: Zero and Negative Exponents

In this worksheet, we will practice simplifying and evaluating expressions involving zero and negative indices.

Q1:

What is the value of 2?

  • A116
  • B32
  • C8
  • D16

Q2:

Which of the following expressions has the same value as 13?

  • A3
  • B3
  • C3
  • D3
  • E3

Q3:

Which of the following is equal to 46?

  • A145
  • B0.46
  • C46
  • D146
  • E45

Q4:

What is the value of (0.2)?

Q5:

A flea of length 14 inches can jump to a height of 14 inches. How many times its length is this?

  • A196 times its length
  • B14 times its length
  • C114 times its length
  • D1196 times its length

Q6:

Which of the following statements is true?

  • A7+1=71+7
  • B7+1=71+4
  • C7+1=71+7
  • D7+1=71+4
  • E7+1=71+4

Q7:

Which of the following is true?

  • A(2)<(2)
  • B(2)>(2)
  • C(2)=(2)

Q8:

Calculate 2×3, giving your answer in its simplest form.

Q9:

Calculate 2+6, giving your answer in its simplest form.

  • A32
  • B49
  • C94
  • D23
  • E64

Q10:

What is the value of 3×2÷6?

Q11:

Find the multiplicative inverse of 2413.

  • A169576
  • B576169
  • C2413
  • D1324

Q12:

Which of the following is true?

  • A5=3
  • B5<3
  • C5>3

Q13:

Rewrite the expression 27827 in the form 𝑎𝑏, where 𝑎 and 𝑏 are prime numbers.

  • A12
  • B32
  • C32
  • D34
  • E23

Q14:

Which of the following expressions has the same value as 435?

  • A235
  • B235
  • C235
  • D235
  • E235

Q15:

Which of the following is equal to 23?

  • A278
  • B69
  • C827
  • D278
  • E827

Q16:

Which of the following has the same value as 12÷12?

  • A12
  • B12
  • C12
  • D2
  • E1

Q17:

Which of the following is equal to 12?

  • A132
  • B32
  • C132
  • D32
  • E510

Q18:

Which of the following is equal to 14?

  • A64
  • B312
  • C112
  • D164
  • E34

Q19:

Which of the following is equal to 52?

  • A8125
  • B1258
  • C156
  • D1258
  • E8125

Q20:

Which of the following is equal to 34×34?

  • A179
  • B916
  • C34
  • D916
  • E179

Q21:

Which of the following has the same value as 34?

  • A43
  • B43
  • C43
  • D43
  • E43

Q22:

What is the solution set of the equation 𝑥2=523?

  • A235
  • B523
  • C546
  • D465

Q23:

Given that 𝑥=6+3×8÷4 and 𝑦=4+(8×2)3, evaluate 𝑥𝑦.

  • A121144
  • B144121
  • C14449
  • D49144

Q24:

Evaluate 21027.

  • A25681
  • B8116
  • C81256
  • D916
  • E9256

Q25:

Evaluate 21027.

  • A916
  • B34
  • C169
  • D316
  • E94

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