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We use the power property:
We apply it to the problem:
Therefore, the correct answer is C.
Which of the following is equivalent to \( 100^0 \)?
Think about the pattern when exponents decrease: , , . Each time we divide by 5, so !
Yes! and . The zero exponent rule applies to any non-zero number, positive or negative.
is actually undefined in most contexts! The zero exponent rule only applies to non-zero bases. Remember: any non-zero number to the zero power equals 1.
Try this memory trick: "Zero power = One answer" or think of it as the neutral element - just like adding 0 doesn't change a number, any base to the zero power gives the multiplication neutral element: 1.
Use the division pattern: Start with , then , then . The pattern confirms our answer!
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