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Worksheet: Applications of Powers and Exponents


Select the pair of powers which have the same value.

  • A and
  • B and
  • C and
  • D and
  • E and


Without evaluating the powers, order , , and from least to greatest.

  • A
  • B
  • C
  • D
  • E


If a library has books, how many books are there?

  • A36 books
  • B49 books
  • C
    6 561
  • D94 books
  • E
    262 144


There are nearly species of monkeys on Earth. What is the value of ?


The prefix giga in gigameter represents meters. Express this as a power of ten.

  • A meters
  • B meters
  • C meters
  • D meters
  • E meters


A 100-pound person on Earth would weigh about pounds on Jupiter. If is equal to 4444, write in exponential form and evaluate the exponent.

  • A, 64
  • B, 256
  • C, 256
  • D, 16
  • E, 16


In the year 2000, the governor of Washington, Gary Locke, received about votes to win the election. Write this as a product and state the number of votes received.

  • A, votes
  • B, votes
  • C, votes
  • D, 60 votes
  • E, votes


The sun is about 10 10 10 10 10 10 10 10 miles away from the earth. Write the distance in exponential form and then evaluate it, giving your answer in millions of miles.

  • A, million miles
  • B, 10 million miles
  • C, 100 million miles
  • D, 10.74 million miles
  • E, 10 million miles


The area of San Bernardino County in California is about square miles. Write this as a product and then evaluate it to find the area.

  • A square miles
  • B square miles
  • C square miles
  • D square miles
  • E square miles


If Charlotte zooms out three times on an interactive map, the scale is times greater. Write this number in standard form.


The number of calories in one croissant can be expressed as . Determine the whole number that represents .


An experiment starts with one cell, and the number of cells doubles every hour. So, at the end of one hour there would be 2 cells and at the end of two hours there would be 4 cells. After ten hours, there would be cells. Write this expression in exponential form, and then evaluate it.

  • A, 512 cells
  • B,
    1 024
  • C,
    1 024
  • D, 100 cells
  • E, 100 cells


A multiple-choice quiz has 7 questions. Given that each question has 4 choices and that there are ways the test can be answered, determine the value of ?


The length of one sidereal day on Venus is Earth days. Express this as a product and then evaluate it to find the number of Earth days in one sidereal Venus day.

  • A Earth days
  • B Earth days
  • C Earth days
  • D Earth days
  • E Earth days


Cheung received votes in the student council elections, while Ajeet received votes. Express this information as a product expression, followed by its value, for each candidate.

  • A, 125, , 81
  • B, 125, , 729
  • C, 125, , 81
  • D, 8, , 11
  • E, 15, , 18


Anthony scored points in a board game, and Noah scored points. Determine who won the game and by how many points.

  • AAnthony, 128 points
  • BNoah, 177 points
  • CAnthony, 79 points
  • DAnthony, 177 points
  • ENoah, 79 points


Natalie and Amelia were trying to decide which is larger, or . Amelia guessed is larger, while Natalie thought is larger. Who guessed correctly? State the value for each.

  • AAmelia, ,
  • BNatalie, ,
  • CAmelia, ,
  • DAmelia, ,
  • ENatalie, ,


A football stadium has seats, and a cricket stadium has seats. Which stadium has more seats? How many more?

  • Athe cricket stadium,
  • Bthe cricket stadium,
  • Cthe cricket stadium,
  • Dthe cricket stadium,
  • Ethe football stadium,


The amount of wax this candle mold can hold is measured in cubic units. Find how much wax it can hold by using the expression , where is the length of a side.

  • A84
  • B
    8 232
  • C
    2 744
  • D56
  • E42

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