SOLUTION: (c^-1+5d^-1)/(7d+35c)

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Question 662174: (c^-1+5d^-1)/(7d+35c)
Answer by ReadingBoosters(3246) About Me  (Show Source):
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Just in case you are yet in need of understanding or a solution...
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A negative exponent is the same as 1/exponent, such that
%28c%5E-1+%2B5d%5E-1%29%2F%287d%2B35c%29+=+%281%2F%28c%5E1%2B5d%5E1%29%29%2F%287d%2B35c%29
To the power of 1, or first power, is just the number and
dividing is the same as multiplying the inverse, so

focusing on (c+5d)(7d+35c) multiply each separately
1%2F%28c%287d%29+%2B+c%2835c%29+%2B+5d%287d%29+%2B+5d%2835c%29%29
Complete the multiplication
1%2F%287cd+%2B+35c%5E2+%2B+35d%5E2+%2B+175cd%29
Combine like terms
1%2F%28182cd+%2B+35c%5E2+%2B+35d%5E2%29
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