document.write( "Question 85492: Could you please help me with these problems?
\n" ); document.write( "1. assume variables are positive and multiply
\n" ); document.write( " y^6/9 ( y^-6/9 + 4y ^3/9)\r
\n" ); document.write( "\n" ); document.write( "2. Assume x, y, z are positive #'s use properties of logarithms to write expression log
\n" ); document.write( "7 sqrt x^6 y ^8 / z^7\r
\n" ); document.write( "\n" ); document.write( "3. Find value of x: logx 121/9 = 2\r
\n" ); document.write( "\n" ); document.write( "4. simplify (256 x^4 y) 1/4 / (81xy^3) 3/4\r
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Algebra.Com's Answer #61707 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
1. assume variables are positive and multiply
\n" ); document.write( "y^6/9 ( y^-6/9 + 4y ^3/9) \r
\n" ); document.write( "\n" ); document.write( "=y^0 + 4y^1\r
\n" ); document.write( "\n" ); document.write( "=1+4y
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\n" ); document.write( "\n" ); document.write( "2. Assume x, y, z are positive #'s use properties of logarithms to write expression log 7 sqrt(x^6 y ^8) / z^7
\n" ); document.write( "Comment: Keep in mind this is all base 7.
\n" ); document.write( "= log [(x^3y^4)/z^7]\r
\n" ); document.write( "\n" ); document.write( "= 3logx + 4logy - 7logz
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\n" ); document.write( "3. Find value of x: logx 121/9 = 2 \r
\n" ); document.write( "\n" ); document.write( "x^2 = 121/9
\n" ); document.write( "x = 11/3
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\n" ); document.write( "\n" ); document.write( "4. simplify (256 x^4 y)^(1/4) / (81xy^3)^(3/4)\r
\n" ); document.write( "\n" ); document.write( "= 4xy^(1/4) / 27x^(3/4)y^(9/4)\r
\n" ); document.write( "\n" ); document.write( "= [4/27][x^(1/4)] / y^2\r
\n" ); document.write( "\n" ); document.write( "=[4x^(1/4)]/[27y^2]\r
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \r
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