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Worksheet: Negative Exponents

Q1:

A flea of length 1 4 1 inches can jump to a height of 14 inches. How many times its length is this?

  • A14 times its length
  • B 1 1 4 times its length
  • C 1 1 9 6 times its length
  • D196 times its length

Q2:

Which of the following statements is true?

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

Q3:

Which of the following is true?

  • A ( 2 ) = ( 2 ) 1 9 1 0
  • B ( 2 ) > ( 2 ) 1 9 1 0
  • C ( 2 ) < ( 2 ) 1 9 1 0

Q4:

Calculate 2 × 3 2 1 1 , giving your answer in its simplest form.

Q5:

Calculate 2 + 6 1 1 2 , giving your answer in its simplest form.

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

Q6:

Which of the following expressions has the same value as 1 3 2 5 ?

  • A 3 7
  • B 3 1 0
  • C 3 7
  • D 3 1 0
  • E 3 3

Q7:

What is the value of 3 × 2 ÷ 6 5 5 6 ?

Q8:

Find the multiplicative inverse of 2 4 1 3 2 .

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

Q9:

Which of the following is true?

  • A 5 = 3 2 4 2 4
  • B 5 > 3 2 4 2 4
  • C 5 < 3 2 4 2 4

Q10:

Rewrite the expression 2 7 8 2 7 4 3 in the form 𝑎 𝑏 𝑚 𝑛 , where 𝑎 and 𝑏 are prime numbers.

  • A 3 4 7 2
  • B 1 2 4
  • C 2 3 4
  • D 3 2 7 4
  • E 3 2 4 4

Q11:

Which of the following expressions has the same value as 4 3 5 6 7 ?

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

Q12:

Which of the following is equal to 2 3 3 ?

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

Q13:

Which of the following has the same value as 1 2 ÷ 1 2 3 4 ?

  • A 1 3 4
  • B 1 2 3 4
  • C2
  • D 1 2
  • E 1 2 7

Q14:

Which of the following is equal to 1 2 5 ?

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

Q15:

Which of the following is equal to 1 4 3 ?

  • A 1 1 2
  • B 1 6 4
  • C 3 4
  • D64
  • E 3 1 2

Q16:

Which of the following is equal to 5 2 3 ?

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

Q17:

Which of the following is equal to 3 4 × 3 4 5 7 ?

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

Q18:

Which of the following has the same value as 3 4 2 3 ?

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

Q19:

What is the solution set of the equation 𝑥 2 = 5 2 3 1 ?

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

Q20:

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

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

Q21:

Evaluate 2 1 0 2 7 1 1 3 .

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

Q22:

Evaluate 2 1 0 2 7 2 3 .

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

Q23:

Which of the following is equal to 3 2 ?

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

Q24:

Given that 𝑎 𝑚 = 5 9 1 , find the value of 𝑚 𝑎 .

  • A 45
  • B 5 9
  • C 14
  • D 9 5
  • E 1 1 4

Q25:

If 𝑥 = 2 5 1 2 , then what is the value of 𝑥 1 ?

  • A 5 1 2
  • B 5 1 2
  • C 1 2 5
  • D 1 2 5