document.write( "Question 220688: Evaluate (-x) square and -x square when x= 10 and x= -10 \n" ); document.write( "
Algebra.Com's Answer #165632 by jsmallt9(3759)\"\" \"About 
You can put this solution on YOUR website!
An important lesson to learn about exponents is that an exponent applies only to what is immediately in front of it

\n" ); document.write( "With \"%28-x%29%5E2\" it is the right parenthesis, \")\", that is immediately in front of the exponent. Therefore exponent applies to the entire expression in the parentheses. So \"%28-x%29%5E2+=+%28-x%29%28-x%29\".

\n" ); document.write( "With \"-x%5E2\" it is the x that is immediately in front of the exponent. Therefore the exponent applies only to the x. So \"-x%5E2+=+-x%2Ax\"

\n" ); document.write( "Now that we understand the differences in the two expressions we can correctly evaluate them for the given values of x:
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document.write( "x = 10\r\n" );
document.write( "   \"%28-x%29%5E2+=+%28-%2810%29%29%5E2+=+%28-10%29%5E2+=+%28-10%29%2A%28-10%29+=+100\"\r\n" );
document.write( "   \"-x%5E2+=+-%2810%29%5E2+=+-%2810%2A10%29+=+-%28100%29+=+-100\"\r\n" );
document.write( "x = -10\r\n" );
document.write( "   \"%28-x%29%5E2+=+%28-%28-10%29%29%5E2+=+%2810%29%5E2+=+%2810%29%2A%2810%29+=+100\"\r\n" );
document.write( "   \"-x%5E2+=+-%28-10%29%5E2+=+-%28%28-10%29%2A%28-10%29%29+=+-%28100%29+=+-100\"\r\n" );
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