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 ×?

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

Q2:

Simplify 6×32.

  • A 1 3 6
  • B36
  • C 4 3
  • D432
  • E324

Q3:

Evaluate 0.2.

Q4:

Evaluate 863.

  • A 2 5 6 2 7
  • B 2 7 4
  • C 4 2 7
  • D54
  • E 3 2 2 7

Q5:

Simplify 8.

  • A 1 8
  • B 8
  • C 1 8
  • D8
  • E64

Q6:

Which of the following is equal to 6?

  • A1,296
  • B6
  • C 6
  • D36
  • E 3 6 6

Q7:

Find the value of 9.

  • A81
  • B 8 1
  • C1
  • D 1
  • E 1 8 1

Q8:

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

  • A 2
  • B ( 2 )
  • C 2
  • D 4
  • E 2

Q9:

Simplify 𝑚𝑛2𝑚𝑛.

  • A 1 8 𝑚 𝑛
  • B 𝑚 8 𝑛
  • C 8 𝑚 𝑛
  • D 𝑚 𝑛 8
  • E 8 𝑚 𝑛

Q10:

Which of the following is equal to 109𝑥𝑦?

  • A 1 0 9 𝑥 𝑦
  • B 1 0 𝑥 𝑦 9
  • C 1 0 9 𝑥 𝑦
  • D 9 1 0 𝑥 𝑦

Q11:

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

  • A 𝑥
  • B 𝑥
  • C 𝑥
  • D 𝑥
  • E 𝑥

Q12:

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

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

Q13:

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

  • A ( 3 )
  • B 1 3
  • C 3
  • D 1 9
  • E 1 3

Q14:

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

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

Q15:

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

  • A 2
  • B ( 2 )
  • C ( 2 )
  • D ( 2 )
  • E 2

Q16:

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

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

Q17:

Which of the following is equal to 135×135?

  • A 2 5 6 4
  • B 5 8
  • C 8 3
  • D 5 8
  • E 8 5

Q18:

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

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

Q19:

Which of the following is equal to 312?

  • A 4 4 9
  • B 3 1 4
  • C 4 9 4
  • D 1 4 4
  • E 6 1 2

Q20:

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

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

Q21:

Which of the following is equal to 34×34?

  • A 3 4
  • B 1 1 3
  • C 2 4 3 1 , 0 2 4
  • D 5 4 5 1 7 2 9
  • E 9 1 6

Q22:

Which of the following is equal to 13×13?

  • A 1 2 7
  • B 1 9
  • C 1 3
  • D27
  • E59,049

Q23:

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

  • A 1 2 5 6
  • B256
  • C 1 4
  • D 4
  • E4

Q24:

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

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

Q25:

Which of the following has the same value as 11?

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

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.