What is the value of any non-zero number raised to the power of zero?
Zero and Negative Exponents

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•
Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
Any non-zero number raised to the power of zero is equal to 1.
2.
FLASHCARD QUESTION
Front
How do you simplify a negative exponent, such as a-n?
Back
A negative exponent indicates the reciprocal: a-n = 1/an.
3.
FLASHCARD QUESTION
Front
What is the result of simplifying 4-2?
Back
4-2 simplifies to \frac{1}{16}.
4.
FLASHCARD QUESTION
Front
How do you simplify a fraction with a negative exponent in the denominator, such as \frac{1}{x^{-2}}?
Back
\frac{1}{x^{-2}} simplifies to x2.
5.
FLASHCARD QUESTION
Front
What is the rule for dividing powers with the same base?
Back
When dividing powers with the same base, subtract the exponents: am/an = am-n.
6.
FLASHCARD QUESTION
Front
How do you simplify the expression \frac{x^{-2}}{4y^{-5}}?
Back
\frac{x^{-2}}{4y^{-5}} simplifies to \frac{y^5}{4x^2}.
7.
FLASHCARD QUESTION
Front
What is the value of (3)-3?
Back
(3)-3 simplifies to \frac{1}{27}.
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