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Worksheet: Powers and Exponents

Q1:

Which of the following is a number between 8โ€‰000 and 9โ€‰000 that can be written as ๐‘Ž ๐‘ for whole numbers ๐‘Ž and ๐‘ ?

  • A 8โ€‰292
  • B 8โ€‰092
  • C 9โ€‰812
  • D 8โ€‰192
  • E 9โ€‰182

Q2:

Write three to the fourth power as a product of the same factor, and then determine its value.

  • A 3 ร— 4 , 12
  • B 4 ร— 4 ร— 4 , 64
  • C 3 ร— 3 ร— 3 ร— 3 ร— 3 , 243
  • D 3 ร— 3 ร— 3 ร— 3 , 81

Q3:

Which of the following sets of numbers has square roots between 7 and 8?

  • A62, 51, 65
  • B48, 50, 62
  • C48, 62, 65
  • D50, 62, 51
  • E48, 51, 65

Q4:

A single tusk that weighed about 2 ๏Šฎ pounds from an African elephant is the largest tooth ever recorded from any modern animal. About how many pounds did the tusk weigh?

Q5:

The given figure shows a pattern with a corresponding value for each of its elements. Determine the value that represents the twenty-sixth element in the pattern.

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

Q6:

The diameter of Mars is about 9 4 kilometers. Express this as a product and then evaluate it to find the approximate diameter of Mars.

  • A 9 ร— 9 ร— 4 ร— 4 = 1 2 9 6 kilometers
  • B 4 ร— 4 ร— 4 ร— 4 ร— 4 ร— 4 ร— 4 ร— 4 ร— 4 = 2 6 2 1 4 4 kilometers
  • C 9 ร— 9 ร— 9 = 7 2 9 kilometers
  • D 9 ร— 9 ร— 9 ร— 9 = 6 5 6 1 kilometers
  • E 9 ร— 9 ร— 9 = 6 5 6 1 kilometers

Q7:

Evaluate 0 . 1 3 .

Q8:

Is it true that 3 < 1 2 1 1 ?

  • Ano
  • Byes

Q9:

Which of the following is equal to ๏€ผ โˆ’ 3 4 ๏ˆ 2 ?

  • A โˆ’ 6 8
  • B โˆ’ 9 1 6
  • C 1 6 9
  • D 9 1 6
  • E โˆ’ 1 6 9

Q10:

Which of the following is equal to ๏€ผ 2 5 ๏ˆ 3 ?

  • A 5 8
  • B 6 1 5
  • C 2 1 2 5
  • D 8 1 2 5
  • E 8 5

Q11:

Evaluate 0 . 3 3 .

Q12:

Which of the following is equal to ๏€ผ โˆ’ 1 2 ๏ˆ 5 ?

  • A โˆ’ 5 1 0
  • B 1 3 2
  • C32
  • D โˆ’ 1 3 2
  • E โˆ’ 3 2

Q13:

Calculate ( โˆ’ 1 ) + ( โˆ’ 1 ) 9 0 1 1 9 .

Q14:

Given that a cube has length, width, and height equal to 8 inches, write a multiplication expression for its volume and then write your answer in exponential form.

Hint: The volume of a cube is found by multiplying together the length, width, and height.

  • A 4 ร— 4 ร— 4 , 8 3
  • B 8 ร— 8 , 8 2
  • C 4 ร— 4 ร— 4 , 4 3
  • D 8 ร— 8 ร— 8 , 8 3
  • E 8 ร— 8 ร— 8 , 8 2

Q15:

Evaluate 1 . 2 2 .

Q16:

An estimated 1 0 5 people live in Charleston, South Carolina. About how many people live in Charleston?

Q17:

Which of the following is equal to ๏€ผ 1 5 ๏ˆ 2 ?

  • A 2 2 5
  • B 1 1 0
  • C 1 3 2
  • D 1 2 5
  • E 1 5 2

Q18:

Which of the following is equal to 3 2 ?

  • A5
  • B6
  • C8
  • D9
  • E32

Q19:

Find the square of 42.2.

Q20:

Evaluate 0 . 1 1 .

Q21:

In a year, about 1 0 4 youths across the United States participated in projects to care for the Earthโ€™s environment. What is 1 0 4 ?