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Worksheet: Simplifying Expressions Involving Negative Exponents

Develop your understanding of negative indices in this worksheet. Cement your understanding of how they are defined, how they can be displayed and how they can be simplified. Continue to develop your understanding of the rules of indices.

Q1:

Simplify , given that .

  • A
  • B
  • C
  • D

Q2:

Simplify , given that .

  • A
  • B
  • C
  • D
  • E

Q3:

Which of the following is equal to ?

  • A0.46
  • B
  • C
  • D45
  • E46

Q4:

Calculate .

  • A
  • B
  • C
  • D
  • E49

Q5:

Calculate .

  • A
  • B
  • C
  • D
  • E81

Q6:

What is ?

Q7:

What is ?

Q8:

What is the value of ?

  • A8
  • B
  • C32
  • D16

Q9:

What is the value of ?

  • A7
  • B
  • C343
  • D49

Q10:

Calculate , giving your answer in its simplest form.

  • A
  • B
  • C
  • D

Q11:

Calculate , giving your answer in its simplest form.

  • A
  • B
  • C
  • D

Q12:

Calculate .

  • A
  • B
  • C
  • D
  • E

Q13:

Calculate .

  • A
  • B
  • C
  • D
  • E

Q14:

Calculate .

  • A
  • B
  • C
  • D
  • E

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