Question 1: Calculate 2^4.

Answer: 16

Question 2: Express 9 as a power of 3.

Answer: 3^2

Question 3: Simplify (2^3) * (2^5).

Answer: 2^8

Question 4: Calculate 3^3 ÷ 3^2.

Answer: 3^1 or 3

Question 5: Express 64 as a power of 2.

Answer: 2^6

Question 6: Calculate 2^10.

Answer: 1024

Question 7: Using index laws, simplify: 2^5 * 2^3 * 2^2.

Answer: 2^{5+3+2} = 2^{10}

Question 8: Calculate 3^4 / 3^2.

Answer: 3^2

Question 9: Plot the graph of y = 2^x for x from -2 to 2. (Draw on grid.)

Answer: Students draw exponential curve within the grid.

Question 10: Construct a triangle where the lengths of sides are 2^3, 2^4, and 2^5. Use the grid to draw accurately.

Answer: Students construct triangle with appropriate lengths.

Question 11: Express 81 as a power of 3, and explain your reasoning.

Answer: 81 = 3^4, because 3 * 3 * 3 * 3 = 81.

Question 12: Common mistake: Simplify 2^3 * 2^4 as 2^7. Is this correct? If not, correct the mistake.

Answer: Yes, it is correct by the law of indices: a^m * a^n = a^{m + n}.