Worksheet: Positive and Negative Integer Powers

In this worksheet, we will practice solving problems that have negative and nonnegative integer powers in R.

Q1:

Find the area of a square whose side length is 7 5 cm.

  • A 4 9 5 cm2
  • B 2 8 5 cm2
  • C 490 cm2
  • D 245 cm2
  • E 140 cm2

Q2:

Calculate ( 3 ) ( 6 ) .

Q3:

Which of the following is equal to 2 3 4 2 ?

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

Q4:

Determine the value of 𝑥 given that 𝑥 = 8 1 0 .

Q5:

Find the value of ( 4 ) .

Q6:

Find the value of ( 2 ) ÷ 2 .

Q7:

Express 3 × 2 in its simplest form.

Q8:

Simplify 5 .

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

Q9:

Calculate 4 × 5 × 8 , giving your answer in its simplest form.

  • A 8 0 0
  • B 3 2 2 5
  • C 800
  • D 3 2 2 5
  • E 8 2 5

Q10:

Evaluate 8 8 .

Q11:

Which of the following is equal to ( 1 0 ) ?

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

Q12:

Which of the following is equal to 5 2 ?

  • A 1 0
  • B25
  • C 1 2 5
  • D 2 5
  • E 1 2 5

Q13:

What is the square of 3 4 ?

Q14:

Find the value of ( 2 ) .

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