Worksheet: Nonnegative Integer Powers

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In this worksheet, we will practice performing operations on powers of the same base of a rational number.

Q1:

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

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

Q2:

Which of the following is equal to 1 3 × 1 3 ?

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

Q3:

Which of the following is equal to 2 3 × 2 3 ?

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

Q4:

Find the value of 4 3 ÷ − 8 9 , giving your answer in simplest form.

  • A − 2
  • B 2 7 1 6
  • C − 3 2
  • D 9 4
  • E 8 9

Q5:

Calculate 1 2 ÷ 1 2 ÷ 1 2 , expressing your answer in the simplest form.

  • A 1 2
  • B 1 6 4
  • C 1 2
  • D 1 4

Q6:

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

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

Q7:

Which of the following is equal to 2 3 4 ?

  • A 5 1 2
  • B 4 9 1 6
  • C 2 9 1 6
  • D 7 9 1 6
  • E 2 2 8

Q8:

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

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

Q9:

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

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

Q10:

Which of the following is equal to 2 1 2 × 2 1 2 ?

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

Q11:

Which of the following is equal to − 1 1 2 × − 1 1 2 ?

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

Q12:

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

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

Q13:

Calculate − 2 3 ÷ − 2 3 ÷ − 2 3 , expressing your answer in the simplest form.

  • A − 8 3
  • B 1 6 8 1
  • C − 2 3
  • D − 8 2 7

Q14:

Find the value of 3 4 ÷ − 3 4 , giving your answer in simplest form.

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

Q15:

Find the value of − 1 4 ÷ − 1 6 , giving your answer in simplest form.

  • A 3 3 2
  • B − 9
  • C 3 2
  • D − 9 1 6
  • E 0

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