Question 1: Calculate the value of 5⁰.

Answer: 1

Question 2: Evaluate 10⁰ × 100.

Answer: 100

Question 3: Simplify the expression: (3⁰)².

Answer: 1

Question 4: Explain why any non-zero number raised to the zero power equals 1.

Answer: Because by the laws of exponents, dividing equal powers reduces the exponent to zero, and any non-zero base to the zero power is defined as 1 to maintain consistency.

Question 5: Calculate 2⁰ + 7⁰.

Answer: 2

Question 6: What is the value of (x⁰) when x ≠ 0? Justify your answer.

Answer: The value is 1 for any x ≠ 0, because of the exponent rule that states a⁰=1.

Question 7: If 4⁰ = y, find y.

Answer: 1

Question 8: Construct a diagram on the grid to represent the calculation of 3⁰.

Answer: Student draws the number 1 on the grid to show 3⁰ = 1.

Question 9: Plot the graph of y=2ˣ for x from -2 to 2. Identify the point where x=0.

Answer: The point is (0,1), since 2⁰=1.

Question 10: Construct a triangle with sides of lengths 1, 2, and 3 units. Mark the sides on the grid.

Answer: Student constructs a triangle with the specified side lengths, demonstrating understanding of the zero index concept in geometric representations.

Question 11: A student mistakenly believes that 0⁰ is undefined. Identify and correct this common mistake.

Answer: Actually, 0⁰ is defined as 1 in the context of exponents to keep the laws consistent; the misconception is that it is undefined.