Worksheet: Rules of Nonnegative Integer Exponents

In this worksheet, we will practice solving problems having nonnegative integer exponents in R by using the laws of exponents.

Q1:

Which of the following is equal to 5 2 3 ?

  • A 8 5
  • B 1 5 6
  • C 2 4 3 9
  • D 1 2 5 8
  • E 1 2 5 2

Q2:

Which of the following is equal to 7 + 7 + 7 + 7 + 7 + 7 + 7 5 5 5 5 5 5 5 ?

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

Q3:

Fill in the blank: 6 × 6 = 6 .

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

Q4:

Find the value of 2 3 × 1 3 ÷ 1 3 3 3 2 , giving your answer in its simplest form.

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

Q5:

Given that 6 ÷ 6 = 6 4 𝑎 0 , determine 𝑎 .

Q6:

Fill in the blanks: ( 2 ) × ( 2 ) = ( 2 ) 7 5 .

Q7:

Find the value of 1 2 × 1 2 ÷ 2 3 2 2 3 , giving your answer in its simplest form.

  • A 8 2 7
  • B 1 5 4
  • C 2 7 8
  • D 2 7 1 2 8

Q8:

Find the value of 1 2 × 2 3 ÷ 2 3 3 3 2 , giving your answer in its simplest form.

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

Q9:

Find the value of 2 3 × 1 3 ÷ 1 3 3 3 2 , giving your answer in its simplest form.

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

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