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A number raised to a negative exponent is negative. always never sometimes

User Rempelos
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2 Answers

3 votes

Final answer:

A number raised to a negative exponent is never negative.

Step-by-step explanation:

In mathematics, a number raised to a negative exponent is never negative. It is important to note that a negative exponent indicates the reciprocal or the inverse of the number. When a number is raised to a negative exponent, it is equivalent to taking the reciprocal of the number and raising it to the positive exponent. For example, 2^-3 is equivalent to 1/(2^3) = 1/8, which is a positive value.

User Nolanpro
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4 votes

Dividing negative exponents is almost the same as multiplying them, except you're doing the opposite: subtracting where you would have added and dividing where you would have multiplied. If the bases are the same, subtract the exponents. Remember to flip the exponent and make it positive, if needed.

User MaThMaX
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6.2k points
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