Question 1: Calculate the value of 5⁰.

Answer: 1

Question 2: If a variable a ≠ 0, what is a⁰ equal to?

Answer: 1

Question 3: Evaluate the expression: 1⁰.

Answer: 1

Question 4: Simplify: 10⁰.

Answer: 1

Question 1: A scientist measures a substance's initial quantity as 100 grams. If she multiplies this amount by 1⁰, what is the new amount? Explain why.

Answer: The amount remains 100 grams because any number multiplied by 1⁰ (which equals 1) stays the same.

Question 2: In an experiment, the growth rate of bacteria is modeled as a⁰. What does this imply about the bacteria's growth at this stage? Justify your answer.

Answer: It implies the bacteria are not growing or shrinking because a⁰ = 1, meaning the factor doesn't change the initial quantity.

Question 3: If a scientist writes the expression (3×2)⁰, what is its value? Show your working.

Answer: Any non-zero number to the zero power is 1, so (3×2)⁰ = 1.

Question 4: A lab experiment involves calculating (50/5)⁰. What is the result? Explain the rule used.

Answer: The result is 1 because any non-zero base raised to zero equals 1.

Question 5: If a=7, what is a⁰? Why is this the case?

Answer: a⁰ = 1 because of the zero index rule; any non-zero number to the zero power equals 1.

Question 1: Express the value of (x⁵ / x⁵) when x ≠ 0, and relate it to the rule a⁰ = 1.

Answer: x⁵ / x⁵ = 1, which aligns with the rule that any non-zero base to the zero power equals 1.

Question 2: A science experiment requires calculating (8/8)⁰. What is the result and why?

Answer: The result is 1 because any non-zero number divided by itself raised to the zero power is 1.

Question 1: What is 0⁰? Explain whether this value is defined and why.

Answer: 0⁰ is generally considered undefined or indeterminate because it is a controversial case in mathematics.

Question 2: Identify the mistake: Simplify 4⁰ = 4. Is this correct? Why or why not?

Answer: Incorrect. 4⁰ = 1, not 4, because any non-zero number to the zero power equals 1.