document.write( "Question 390812: can you please help me solve this equationn?\r
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document.write( " (4)^-3/4 x = 1/2\r
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Algebra.Com's Answer #277142 by haileytucki(390)![]() ![]() You can put this solution on YOUR website! ((4)^(-3))/(4x)=(1)/(2)\r \n" ); document.write( "\n" ); document.write( "Expand the exponent (3) to the expression. \n" ); document.write( "(1)/(4^(3))*(1)/(4x)=(1)/(2)\r \n" ); document.write( "\n" ); document.write( "Cubing a number is the same as multiplying the number by itself 3 times (4*4*4). In this case, 4 cubed is 64. \n" ); document.write( "(1)/(64)*(1)/(4x)=(1)/(2)\r \n" ); document.write( "\n" ); document.write( "Multiply (1)/(64) by (1)/(4x) to get (1)/(256x). \n" ); document.write( "(1)/(256x)=(1)/(2)\r \n" ); document.write( "\n" ); document.write( "Since there is one rational expression on each side of the equation, this can be solved as a ratio. For example, (A)/(B)=(C)/(D) is equivalent to A*D=B*C. \n" ); document.write( "1*2=1*256x\r \n" ); document.write( "\n" ); document.write( "Since x is on the right-hand side of the equation, switch the sides so it is on the left-hand side of the equation. \n" ); document.write( "1*256x=1*2\r \n" ); document.write( "\n" ); document.write( "Multiply 1 by 256x to get 256x. \n" ); document.write( "256x=1*2\r \n" ); document.write( "\n" ); document.write( "Multiply 1 by 2 to get 2. \n" ); document.write( "256x=2\r \n" ); document.write( "\n" ); document.write( "Divide each term in the equation by 256. \n" ); document.write( "(256x)/(256)=(2)/(256)\r \n" ); document.write( "\n" ); document.write( "Simplify the left-hand side of the equation by canceling the common factors. \n" ); document.write( "x=(2)/(256)\r \n" ); document.write( "\n" ); document.write( "Simplify the right-hand side of the equation by simplifying each term. \n" ); document.write( "x=(1)/(128) \n" ); document.write( " |