document.write( "Question 157295: I have a difficulty with my daughter's algebra book. She has been taught something about apply exponents to negative numbers I am not so sure about. specifically she was taught that -8^2=-64, in effect that the formula is equivalent to -(8)^2, whereas I thought it was the equivalent to (-8)^2 and therefore would be +64. We checked her textbook and it clearly supports what she was taught, but clearly contradicts what I do in engineering. Can someone either correct me or point me to a correct resource? \n" ); document.write( "
Algebra.Com's Answer #115927 by midwood_trail(310) ![]() You can put this solution on YOUR website! I understand what you are saying.\r \n" ); document.write( "\n" ); document.write( "Math and physics textbooks are famous for having lots of typos. \r \n" ); document.write( "\n" ); document.write( "I have a closet full of math books and I cannot begin to number how many \n" ); document.write( "so-called right answers are located in the back of each book.\r \n" ); document.write( "\n" ); document.write( "Anytime we square a number, the answer is POSITIVE.\r \n" ); document.write( "\n" ); document.write( "I am not an engineer but consider myself good at math.\r \n" ); document.write( "\n" ); document.write( "It makes perfect sense that (-8)^2 DOES NOT EQUAL -(8)^2.\r \n" ); document.write( "\n" ); document.write( "Case 1:\r \n" ); document.write( "\n" ); document.write( "(-8)^2 = 64\r \n" ); document.write( "\n" ); document.write( "Case 2:\r \n" ); document.write( "\n" ); document.write( "-(8)^2 = -(64) = -64\r \n" ); document.write( "\n" ); document.write( "In case 2, we apply PEMDAS. As you know, solving exponents come BEFORE multiplication in PEMDAS.\r \n" ); document.write( "\n" ); document.write( "I would say it is a textbook TYPO.\r \n" ); document.write( "\n" ); document.write( "Write back.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |