document.write( "Question 892438: Describe the following pattern: (-1)1=? ;(-1)-2=? ;(-1)-3=? ;(-1)-4=?. Determine what (-1)-100 would be. Justify your thinking. The numbers outside the parentheses are exponents. \n" ); document.write( "

Algebra.Com's Answer #540560 by Fombitz(32388) $\"\"$ $\"About$

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$\"%28-1%29%5E%28-1%29=1%2F%28-1%29%5E1=-1\"$
\n" ); document.write( " $\"%28-1%29%5E%28-2%29=1%2F%28-1%29%5E2=1\"$
\n" ); document.write( " $\"%28-1%29%5E%28-3%29=1%2F%28-1%29%5E3=-1\"$
\n" ); document.write( " $\"%28-1%29%5E%28-4%29=1%2F%28-1%29%5E4=1\"$
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\n" ); document.write( " $\"%28-1%29%5E%28-n%29=1%2F%28-1%29%5En=1\"$ if $\"n\"$ is even
\n" ); document.write( " $\"%28-1%29%5E%28-n%29=1%2F%28-1%29%5En=-1\"$ if $\"n\"$ is odd.
\n" ); document.write( "So since $\"n=100\"$ is even,\r
\n" ); document.write( "\n" ); document.write( " $\"%28-1%29%5E%28-100%29=1%2F%28-1%29%5E100=1\"$
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