document.write( "Question 128808: Simplify: -3x^0 + (1/2)^-2 - (-2)^3 \n" ); document.write( "
Algebra.Com's Answer #94261 by crzyy321(5)![]() ![]() ![]() You can put this solution on YOUR website! x^0 evaluates to 1 \n" ); document.write( "Multiply 1 and 3 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1 \r \n" ); document.write( "\n" ); document.write( "3*x^0 evaluates to 3 \r \n" ); document.write( "\n" ); document.write( "Because of the minus sign \r \n" ); document.write( "\n" ); document.write( "3 becomes - 3 \r \n" ); document.write( "\n" ); document.write( "The answer is -3 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1/2 evaluates to \r \n" ); document.write( "\n" ); document.write( "The 1/4 becomes a 4/1 \n" ); document.write( "The exponent, -2, is negative, so we'll have to handle it a little bit differently here. \n" ); document.write( "But for now, we'll treat it as it was positive, and handle it in the usual manner... that is, as if it were at +2.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now, because of the negative exponent, we take this result, and turn it upside-down. \n" ); document.write( "That is, a number becomes 1/the number, or a fraction is literally flipped upside-down. \n" ); document.write( "This effectively \"flips\" the entire result upside down, but that's exactly what negative exponents do! \n" ); document.write( "In this case...\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The 1 becomes a 1/1 \n" ); document.write( "(1/2)^-2 evaluates to 4 \r \n" ); document.write( "\n" ); document.write( "-3*x^0+(1/2)^-2 evaluates to 1 \r \n" ); document.write( "\n" ); document.write( "Because of the minus sign \r \n" ); document.write( "\n" ); document.write( "2 becomes - 2 \r \n" ); document.write( "\n" ); document.write( "The answer is -2 \r \n" ); document.write( "\n" ); document.write( "Raising -2 to the exponent 3 is the same as multiplying -2 by itself 3 times. \r \n" ); document.write( "\n" ); document.write( "Multiply -2 by -2 \r \n" ); document.write( "\n" ); document.write( "Multiply -2 and -2 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1 \r \n" ); document.write( "\n" ); document.write( "-2 × -2 = 4 \r \n" ); document.write( "\n" ); document.write( "4 \r \n" ); document.write( "\n" ); document.write( "Multiply 4 by -2 \r \n" ); document.write( "\n" ); document.write( "Multiply 4 and -2 \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "1 \r \n" ); document.write( "\n" ); document.write( "4 × -2 = -8 \r \n" ); document.write( "\n" ); document.write( "-8 \r \n" ); document.write( "\n" ); document.write( "(-2)^3 evaluates to -8 \r \n" ); document.write( "\n" ); document.write( "-3*x^0+(1/2)^-2-(-2)^3 evaluates to 9 \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-------------------------------------------------------------------------------- \n" ); document.write( "The final answer is 9 \r \n" ); document.write( "\n" ); document.write( "Good Luckk! \n" ); document.write( " |