Exponent Expressions & Equations in Real Life Scenarios

A gardener is planting flowers in a rectangular garden. The area of the garden is represented by the expression 3^2 * 2^3 square meters. Simplify the expression to find the total area of the garden.

• 36 square meters

• 64 square meters

• 48 square meters

• 72 square meters

A computer's processing speed is measured in gigahertz (GHz). If a computer has a speed of 2^4 GHz, what is its speed in GHz?

• 16 GHz

• 32 GHz

• 8 GHz

• 4 GHz

A scientist is studying bacteria growth. If the number of bacteria doubles every hour, and there are initially 5 bacteria, how many will there be after 3 hours? Express your answer using exponents.

• 15

• 40

• 25

• 60

A car travels at a speed of 60 miles per hour. If the distance traveled is represented by the expression 60 * 2^3 miles, simplify the expression to find the total distance traveled in miles after 8 hours.

• 480 miles

• 360 miles

• 240 miles

• 600 miles

A student is solving the equation 2^x = 32. What is the value of x?

• 5

• 6

• 8

• 4

A recipe calls for 2^3 cups of flour. If you want to make half the recipe, how many cups of flour do you need?

• 8 cups

• 2 cups

• 1 cup

• 4 cups

A cell phone plan offers 2^5 gigabytes of data per month. If you use 2^2 gigabytes in a week, how many gigabytes do you have left at the end of the week?

• 30 gigabytes

• 24 gigabytes

• 28 gigabytes

• 32 gigabytes

A population of rabbits triples every month. If there are initially 4 rabbits, how many rabbits will there be after 2 months? Express your answer using exponents.

• 4 * 3^3

• 4 * 3^2

• 4 * 2^2

• 4 + 3^2

A box contains 3^3 apples. If you eat 2 apples, how many apples are left in the box?

• 25

• 30

• 20

• 15

A factory produces 2^6 toys each day. How many toys does the factory produce in 5 days? Express your answer using exponents.

• 10 * 2^6

• 5 * 2^6

• 2^7

• 5 * 2^5