Answer :
Sure! Let's solve the problem step by step.
We are given the expression [tex]\(45^0\)[/tex] and we need to find which choice is equivalent to this expression from the following options:
A. 0
B. 1
C. [tex]\(45^2\)[/tex]
D. 45
Step-by-Step Solution:
1. Understanding Exponents:
- Any non-zero number raised to the power of 0 is equal to 1.
2. Applying the Rule to Our Expression:
- Here, we have [tex]\(45^0\)[/tex].
3. Evaluating the Expression:
- According to the rule mentioned, [tex]\(45^0 = 1\)[/tex].
4. Matching with the Given Choices:
- Now, we compare our result to the given options.
- A. 0 => Not equivalent
- B. 1 => Equivalent
- C. [tex]\(45^2\)[/tex] => Not equivalent
- D. 45 => Not equivalent
The correct choice is B. 1. So, [tex]\(45^0\)[/tex] is equivalent to 1.
We are given the expression [tex]\(45^0\)[/tex] and we need to find which choice is equivalent to this expression from the following options:
A. 0
B. 1
C. [tex]\(45^2\)[/tex]
D. 45
Step-by-Step Solution:
1. Understanding Exponents:
- Any non-zero number raised to the power of 0 is equal to 1.
2. Applying the Rule to Our Expression:
- Here, we have [tex]\(45^0\)[/tex].
3. Evaluating the Expression:
- According to the rule mentioned, [tex]\(45^0 = 1\)[/tex].
4. Matching with the Given Choices:
- Now, we compare our result to the given options.
- A. 0 => Not equivalent
- B. 1 => Equivalent
- C. [tex]\(45^2\)[/tex] => Not equivalent
- D. 45 => Not equivalent
The correct choice is B. 1. So, [tex]\(45^0\)[/tex] is equivalent to 1.