Question

1. A computer program increases data using powers of 2. One process multiplies the data by
23 and another multiplies it by 24. What is the simplified power of 2 that represents the total
increase?
Answer: _______________________________________________
2. A science lab tracks bacteria growth using powers of 5. The growth is represented by the
expression 56 ÷ 52. Simplify the expression using exponent rules.
Answer: _______________________________________________
3. A digital storage system updates its capacity using the expression (32)3. Simplify the
exponential expression.
Answer: _______________________________________________
4. A school is designing a square vegetable garden for students. The total area of the garden
will be 144 square feet. Because the garden is square, all sides are equal. What is the length
of one side of the garden?
Answer: _______________________________________________
5. The school is planning a larger square community garden behind the gym. The total area
of the garden will be 400 square feet. What is the length of each side of the garden?
Answer: _______________________________________________
6. The school gym stores equipment in cube-shaped storage containers. One container has a
volume of 64 cubic inches. What is the length of one edge of the cube-shaped container?
Answer: _______________________________________________

Answer 1

1. 2^7
2. 5^4 = 625
3. (3^2)^3 = 3^6 = 729
4. 12 feet
5. 20 feet
6. 4 inches