Posted by **righteous dude** on Friday, September 4, 2009 at 7:14am.

Determine whether the statement is true, false, or sometimes true.

1) If x and y are both integers, 1)

then (-x)3 = -x3

A) Sometimes true B) True C) False

- mathematics -
**Reiny**, Friday, September 4, 2009 at 7:37am
If you mean

(-x)^{3 = -x3
yes, that is always true
As a matter of fact, it is true for all odd exponents of n for
(-x)n = -xn
and false for all even numbers of n.
e.g. (-3)^3 = (-3)(-3)(-3) = -27
-3^3 = -(3)^3 = -(3)(3)(3) = -27
but
(-3)^4 = (-3)(-3)(-3)(-3) = +81
and -3^4 = -(3)(3)(3)(3) = -81
}

- mathematics -
**Reiny**, Friday, September 4, 2009 at 8:36am
Let's try that again

If you mean

(-x)^{3} = -x^{3}

yes, that is always true

As a matter of fact, it is true for all odd exponents of n for

(-x)n = -xn

and false for all even numbers of n.

e.g. (-3)^3 = (-3)(-3)(-3) = -27

-3^3 = -(3)^3 = -(3)(3)(3) = -27

but

(-3)^4 = (-3)(-3)(-3)(-3) = +81

and -3^4 = -(3)(3)(3)(3) = -81

- mathematics -
**Anonymous**, Saturday, April 16, 2011 at 2:17pm
Determine the nature of the solutions of the equations. 2t²-6t=0

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