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?

  • A 1 1 6
  • B32
  • C8
  • D16

Q2:

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

  • A 3
  • B 3
  • C 3
  • D 3
  • E 3

Q3:

Which of the following is equal to 46?

  • A 1 4 5
  • B0.46
  • C46
  • D 1 4 6
  • 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
  • C 1 1 4 times its length
  • D 1 1 9 6 times its length

Q6:

Which of the following statements is true?

  • A 7 + 1 = 7 1 + 7
  • B 7 + 1 = 7 1 + 4
  • C 7 + 1 = 7 1 + 7
  • D 7 + 1 = 7 1 + 4
  • E 7 + 1 = 7 1 + 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.

  • A 3 2
  • B 4 9
  • C 9 4
  • D 2 3
  • E 6 4

Q10:

What is the value of 3×2÷6?

Q11:

Find the multiplicative inverse of 2413.

  • A 1 6 9 5 7 6
  • B 5 7 6 1 6 9
  • C 2 4 1 3
  • D 1 3 2 4

Q12:

Which of the following is true?

  • A 5 = 3
  • B 5 < 3
  • C 5 > 3

Q13:

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

  • A 1 2
  • B 3 2
  • C 3 2
  • D 3 4
  • E 2 3

Q14:

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

  • A 2 3 5
  • B 2 3 5
  • C 2 3 5
  • D 2 3 5
  • E 2 3 5

Q15:

Which of the following is equal to 23?

  • A 2 7 8
  • B 6 9
  • C 8 2 7
  • D 2 7 8
  • E 8 2 7

Q16:

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

  • A 1 2
  • B 1 2
  • C 1 2
  • D2
  • E 1

Q17:

Which of the following is equal to 12?

  • A 1 3 2
  • B32
  • C 1 3 2
  • D 3 2
  • E 5 1 0

Q18:

Which of the following is equal to 14?

  • A64
  • B 3 1 2
  • C 1 1 2
  • D 1 6 4
  • E 3 4

Q19:

Which of the following is equal to 52?

  • A 8 1 2 5
  • B 1 2 5 8
  • C 1 5 6
  • D 1 2 5 8
  • E 8 1 2 5

Q20:

Which of the following is equal to 34×34?

  • A 1 7 9
  • B 9 1 6
  • C 3 4
  • D 9 1 6
  • E 1 7 9

Q21:

Which of the following has the same value as 34?

  • A 4 3
  • B 4 3
  • C 4 3
  • D 4 3
  • E 4 3

Q22:

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

  • A 2 3 5
  • B 5 2 3
  • C 5 4 6
  • D 4 6 5

Q23:

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

  • A 1 2 1 1 4 4
  • B 1 4 4 1 2 1
  • C 1 4 4 4 9
  • D 4 9 1 4 4

Q24:

Evaluate 21027.

  • A 2 5 6 8 1
  • B 8 1 1 6
  • C 8 1 2 5 6
  • D 9 1 6
  • E 9 2 5 6

Q25:

Evaluate 21027.

  • A 9 1 6
  • B 3 4
  • C 1 6 9
  • D 3 1 6
  • E 9 4

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