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anonymous
 one year ago
A number raised to a negative exponent is negative
anonymous
 one year ago
A number raised to a negative exponent is negative

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Is that always never or sometimes?

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.0\(\large\color{black}{ \displaystyle a^{b}=\frac{1}{a^b} }\) if *a* is positive, then *a^b* is also positive (and so is *a^(b)* positive).

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.0Only when *b* is odd, and *a* is negative, (like (5)^3) will you get a negative result, and if a^b is negative then *a^(b) = 1/a^b =negative*.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So it is never always or sometimes?

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.0So there are times when *a^(b)* is negative, but certainly not always: Some examples of different results: *2^(2) = 1/2^2 = 1/4* *(4)^(2) = 1/(4)^2 = 1/16* *(1)^(1) = 1/(1)^1 = 1/(1)=1* *(2)^(3) = 1/(2)^3 = 1/(8)=1/8*

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.0`A positive number is raised to a negative exponent:` *is always positive* `A negative number is raised to negative exponent:` *is positive when exponent is even* AND *is negative when exponent is odd*

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.0And if you say just *a number*, then that could be *either positive or negative* and thus the result can be *either positive or negative*.

Directrix
 one year ago
Best ResponseYou've already chosen the best response.0@Tesslover What do you think is the answer to the question? dw:1444265489958:dw
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