Solve the following problem:
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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.
\( 112^0=\text{?} \)
This comes from the pattern of exponents! Look at this sequence: , , . Each time we decrease the exponent by 1, we divide by 7. So !
Great question! is actually undefined in most contexts. The rule only works when the base is not zero. Since 7 ≠ 0, we can safely say .
Yes! Any non-zero number raised to the zero power equals 1. So , , and .
(the base itself) while (always 1 for non-zero bases). The exponent determines the result, not the base when the exponent is 0!
Yes, but understanding helps too! Memorize 'non-zero base to zero power equals 1' but also remember the pattern: as exponents decrease, we keep dividing by the base until we reach 1.
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