document.write( "Question 1012113: if a,b,c in ap nd x,y,z in gp prove that x^b y^c z^a=x^c y^a z^b \n" ); document.write( "
Algebra.Com's Answer #628162 by fractalier(6550)\"\" \"About 
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Since a, b, and c are in an arithmetic progression, we can write them as
\n" ); document.write( "a, a + d, and a + 2d.
\n" ); document.write( "Since x, y, and z are in geometric progression , we can write them as
\n" ); document.write( "x, xr and xr^2.
\n" ); document.write( "Thus we can substitute into
\n" ); document.write( "x^b y^c z^a = x^c y^a z^b
\n" ); document.write( "and get
\n" ); document.write( "
\n" ); document.write( "which yields
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\n" ); document.write( "Now collect like bases and get
\n" ); document.write( "\"x%5E%283a%2B3d%29%2Ar%5E%283a%2B2d%29+=+x%5E%283a%2B3d%29%2Ar%5E%283a%2B2d%29\"
\n" ); document.write( "and we're done...
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