Question 1: Calculate 2^4.

Answer: 16

Question 2: Simplify 3^3 × 3^2.

Answer: 3^5

Question 3: Express 8 × 8 × 8 as a power of 2.

Answer: 2^9

Question 4: Calculate 5^0.

Answer: 1

Question 5: If 2^x = 16, find the value of x.

Answer: 4

Question 6: Calculate the value of 3^4.

Answer: 81

Question 7: A computer memory module has 2^20 bytes of storage. How many bytes are in 5 such modules?

Answer: 5 × 2^20

Question 8: A bacteria population doubles every hour. If the initial population is 3^2, what is the population after 4 hours?

Answer: 3^2 × 2^4

Question 9: Construct a triangle on the grid with sides of lengths 2^2 units, 3^2 units, and 2^3 units. (Describe the process.)

Answer: Students will plot points and draw the triangle with specified side lengths

Question 10: A company produces items in batches of 2^k units. If a batch contains 2^5 items, how many items are produced in 4 such batches?

Answer: 4 × 2^5 = 2^2 × 2^5 = 2^7

Question 11: Identify and correct the mistake: 3^3 × 3^4 = 3^12.

Answer: The mistake is in the addition of exponents; it should be 3^7

Question 12: Calculate the value of 2^10 ÷ 2^4.

Answer: 2^6