Questions:
1. What do you observe in column B?
2. What happens to the value of the expression if the exponent is equal to zero?
3. If a certain number is raised to zero, is the answer the same if another
number is raised to zero? Justify your answer.
4. What do you observe in columns D, F, and H?
5. What can you say if an expression is raised to negative integral exponent?
6. Can you identify a pattern of expressions or numbers raised to zero
exponent? What is the pattern?
7. What do you think is zero raised to zero (0)?
8. Can you identify a pattern for expressions or numbers raised to negative
integral exponents? What is the pattern?
Answers & Comments
Answer:
1. All numbers on collumn B has a exponent.
2.Therefore, it is proven that any number or expression raised to the power of zero is always equal to 1. In other words, if the exponent is zero then the result is 1. The general form of zero exponent rule is given by: a 0 = 1.
3. "ZERO POWER RULE"
If a certain number is raised to zero, the answer is always (1).
4.They share the same pattern.
5. A number raised to a negative power is equal to one over the number raised to the positive opposite power.
6. Yes, any number, except 0, when raised to 0 will always result in 1.
7. Zero to the power of zero is a mathematical expression with no agreed-upon value.
8.Yes, expressions with negative integral exponents can be written with a positive integral exponent by getting the reciprocal of the base.