document.write( "Question 271578: Please help :)\r
\n" ); document.write( "\n" ); document.write( "1.Evaluate:
\n" ); document.write( "a) (8/27)^(-4/3)
\n" ); document.write( "b)[(3/5)^-1 - 4^0] ^-2 -- I got 9/4.\r
\n" ); document.write( "\n" ); document.write( "2.Which is equivalent to:\r
\n" ); document.write( "\n" ); document.write( "a)[(25^x)]/[125^(x+1)(5)] Is it 5^x+2 ?
\n" ); document.write( "b) [(9^x)]/[(27^2x)(3)] Is it 3^4x-1 ?
\n" ); document.write( "c) (1/36)^x-2 Is it 6^-2x+4 ?
\n" ); document.write( "

Algebra.Com's Answer #198791 by stanbon(75887)\"\" \"About 
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( "
\n" );