document.write( "Question 662174: (c^-1+5d^-1)/(7d+35c) \n" ); document.write( "
Algebra.Com's Answer #413519 by ReadingBoosters(3246)\"\" \"About 
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\n" ); document.write( "...
\n" ); document.write( "A negative exponent is the same as 1/exponent, such that
\n" ); document.write( "\"%28c%5E-1+%2B5d%5E-1%29%2F%287d%2B35c%29+=+%281%2F%28c%5E1%2B5d%5E1%29%29%2F%287d%2B35c%29\"
\n" ); document.write( "To the power of 1, or first power, is just the number and
\n" ); document.write( "dividing is the same as multiplying the inverse, so
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\n" ); document.write( "focusing on (c+5d)(7d+35c) multiply each separately
\n" ); document.write( "\"1%2F%28c%287d%29+%2B+c%2835c%29+%2B+5d%287d%29+%2B+5d%2835c%29%29\"
\n" ); document.write( "Complete the multiplication
\n" ); document.write( "\"1%2F%287cd+%2B+35c%5E2+%2B+35d%5E2+%2B+175cd%29\"
\n" ); document.write( "Combine like terms
\n" ); document.write( "\"1%2F%28182cd+%2B+35c%5E2+%2B+35d%5E2%29\"
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\n" ); document.write( "Delighted to help.
\n" ); document.write( "-Reading Boosters
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