# Worksheet: Applications of Powers and Exponents

Q1:

Select the pair of powers which have the same value.

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

Q2:

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

• A
• B
• C
• D
• E

Q3:

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

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

Q4:

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

Q5:

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

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

Q6:

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

Q7:

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.

Q8:

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

Q9:

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

Q10:

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

Q11:

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

Q12:

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
cells
• C,
1 024
cells
• D, 100 cells
• E, 100 cells

Q13:

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 ?

Q14:

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

Q15:

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

Q16:

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

Q17:

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, ,

Q18:

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

Q19:

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