Exponent Laws: Real-Life Applications for Grade 8

A gardener has a plot of land that is 2^3 square meters. If he decides to plant flowers in 2^2 of those square meters, how many square meters will be left for vegetables?

• 4 square meters

• 6 square meters

• 8 square meters

• 2 square meters

A computer program runs at a speed of 3^4 operations per second. If the speed is doubled, what will be the new speed expressed as a power of 3?

• 3^8

• 3^(4 + log3(2))

• 3^(4 * 2)

• 3^(4 + 1)

A factory produces 5^3 toys each day. If the factory operates for 2^2 days, how many toys will it produce in total?

• 600

• 500

• 400

• 800

A scientist is studying bacteria that double in number every hour. If she starts with 2^5 bacteria, how many will there be after 3 hours?

• 128

• 256

• 64

• 512

A book has 4^3 pages. If a reader reads 2^4 pages each day, how many days will it take to finish the book?

• 10 days

• 8 days

• 4 days

• 2 days

A car travels at a speed of 2^5 kilometers per hour. How far will it travel in 3 hours? Express your answer as a power of 2.

• 2^6

• 2^6.585

• 2^5

• 2^7

A cell phone plan offers 3^2 gigabytes of data per month. If a user consumes 3^1 gigabytes in the first week, how many gigabytes are left for the rest of the month?

• 4 gigabytes

• 8 gigabytes

• 6 gigabytes

• 10 gigabytes

A video game has 2^6 levels. If a player completes 2^3 levels in one day, how many levels are left to complete?

• 56

• 48

• 64

• 32

A bakery makes 4^2 loaves of bread each day. If they sell 2^3 loaves, how many loaves remain at the end of the day?

• 10 loaves

• 4 loaves

• 8 loaves

• 6 loaves

A digital file is 2^8 bytes in size. If it is compressed to 2^5 bytes, what is the reduction in size expressed as a power of 2?

• 2^6

• 2^3

• 2^4

• 2^5