megan1127
megan1127 megan1127
  • 09-02-2018
  • Mathematics
contestada

What can be said of the result if a negative is raised to an odd power?

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mdsadler
mdsadler mdsadler
  • 09-02-2018
Let's say we have the base -2 and we raise it to the third power, what will happen?

Well, [tex]-2^3 = -2 * -2 * -2[/tex].

[tex]-2 * -2 * -2 = (-2 * -2) * -2 = (4) * -2 = -8[/tex]

Any negative base with an odd exponent will result in a negative answer, because, unlike even exponents and negative bases, the negatives will not cancel out.
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