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We use the formula:
We know that:
Therefore, we obtain:
We use the formula:
Which of the following is equivalent to \( 100^0 \)?
Think of it as the pattern rule! When you divide powers: . Since any number divided by itself equals 1, we get !
is actually undefined in mathematics! The zero exponent rule only works for non-zero bases. So , but is undefined.
First calculate: . Then recognize that , so . Finally check: ✓
There's no 8 in the numerator to cancel! We have , not . Only identical factors can be cancelled.
Not necessary for this problem! You can solve it step-by-step: , then . Converting to is just the final step to match the answer choices.
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