document.write( "Question 271578: Please help :)\r
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document.write( "1.Evaluate:
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document.write( "a) (8/27)^(-4/3)
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document.write( "b)[(3/5)^-1 - 4^0] ^-2 -- I got 9/4.\r
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document.write( "2.Which is equivalent to:\r
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document.write( "a)[(25^x)]/[125^(x+1)(5)] Is it 5^x+2 ?
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document.write( "b) [(9^x)]/[(27^2x)(3)] Is it 3^4x-1 ?
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document.write( "c) (1/36)^x-2 Is it 6^-2x+4 ? \n" );
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Algebra.Com's Answer #198791 by stanbon(75887) ![]() You can put this solution on YOUR website! 1.Evaluate: \n" ); document.write( "a) (8/27)^(-4/3) \n" ); document.write( "Take the cube root of (8/27) to get: \n" ); document.write( "= (2/3)^-4 \n" ); document.write( "= (3/2)^4 \n" ); document.write( "= 81/16 \n" ); document.write( "--------------------------------------- \n" ); document.write( "b)[(3/5)^-1 - 4^0] ^-2 -- I got 9/4. \n" ); document.write( "= [(5/3) - 1]^-2 \n" ); document.write( "= [2/3]^-2 \n" ); document.write( "= [3/2)^2 \n" ); document.write( "= 9/4 \n" ); document.write( "You Got It.\r \n" ); document.write( "\n" ); document.write( "-------------------------------------\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "2.Which is equivalent to: \n" ); document.write( "a)[(25^x)]/[125^(x+1)(5)] Is it 5^x+2 ? \n" ); document.write( "= [5^2x]/[5^(3x+3)*5] \n" ); document.write( "= [5^2x]/[5^(3x+4)] \n" ); document.write( "= 5^(-x-4)\r \n" ); document.write( "\n" ); document.write( "-------------------------------------\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "b) [(9^x)]/[(27^2x)(3)] Is it 3^4x-1 ? \n" ); document.write( "= [3^2x]/[3^6x*3] \n" ); document.write( "= [3^2x]/[3^(6x+1)] \n" ); document.write( "= 3^(-4x-1) \n" ); document.write( "--------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "c) (1/36)^(x-2) Is it 6^-2x+4 ? \n" ); document.write( "= (6^-2)^(x-2) \n" ); document.write( "= 6^(-2x+4) \n" ); document.write( "You Got It but be careful; use parentheses to avoid confusion. \n" ); document.write( "=================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " \n" ); document.write( " |