Solve the following problem:
Solve the following problem:
\( 7^0= \)
\( \)
Solve the following problem:
\( \left(-3\right)^0= \)
\( 112^0=\text{?} \)
Solve the following problem:
To solve the problem of finding , we will follow these steps:
Step 1: Identify the general rule for exponents with zero.
Step 2: Apply the rule to the given problem.
Step 3: Consider the provided answer choices and select the correct one.
Now, let's work through each step:
Step 1: A fundamental rule in exponents is that any non-zero number raised to the power of zero is equal to one. This can be expressed as: where is not zero.
Step 2: Apply this rule to the problem: Since we have , and is certainly a non-zero number, the expression evaluates to 1. Therefore, .
Therefore, the solution to the problem is , which corresponds to choice 2.
Solve the following problem:
To solve this problem, let's follow these steps:
Understand the zero exponent rule.
Apply this rule to the given expression.
Identify the correct answer from the given options.
According to the rule of exponents, any non-zero number raised to the power of zero is equal to . This is one of the fundamental properties of exponents.
Now, apply this rule:
Step 1: We are given the expression .
Step 2: Here, is our base. We apply the zero exponent rule, which tells us that .
Therefore, the value of is .
We use the zero exponent rule.
We obtain
Therefore, the correct answer is option C.
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