Simplifying -2^4 x 2 + (-2)^4

LaZy1

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Jul 8, 2006
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2
I'm given the equation -2^4 x 2 + (-2)^4 I work the equation and I keep getting a 48 but the answer, I'm told, is supposed to be -16. Is there a rule or a little tidbit I've forgotten?

I finished and haven't done anything involving algebra for about 2 years now and I've graduated since then, so I'm a bit rusty and forget little things. Thanks for anyone that helps me with this.
 
\(\displaystyle \L
\begin{array}{l}
- 2^4 \times 2 = - 32 \\
\left( { - 2} \right)^2 = 16 \\
\end{array}\)
 
Re: Simplifying

I'm given the equation -2^4 x 2 + (-2)^4 I work the equation and I keep getting a 48 but the answer, I'm told, is supposed to be -16. Is there a rule or a little tidbit I've forgotten?

I finished and haven't done anything involving algebra for about 2 years now and I've graduated since then, so I'm a bit rusty and forget little things. Thanks for anyone that helps me with this.
(-2)x(-2) = + 4
(+4)x(-2) = -8
(-8)x(-2) = +16
Therefore,, (-2)^4 = +16
16x2 = 32
32 + 16 = 48

I agree with you.
 
Re: Simplifying

TchrWill said:
I agree with you.
Note the parentheses: -2<sup>4</sup> = -(2)(2)(2)(2) = -16 is quite different from (-2)<sup>4</sup> = (-2)(-2)(-2)(-2) = +16.

Eliz.
 
Re: Simplifying

stapel said:
Note the parentheses: -2<sup>4</sup> = -(2)(2)(2)(2) = -16 is quite different from (-2)<sup>4</sup> = (-2)(-2)(-2)(-2) = +16.
So right you are. Thanks for making me aware of my misdirection.
 
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