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Simplify. Express your answer as a single fraction in simplest form. \newline6c55+7c\frac{6c^5}{5} + 7c

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Q. Simplify. Express your answer as a single fraction in simplest form. \newline6c55+7c\frac{6c^5}{5} + 7c
  1. Identify Common Denominator: Identify the common denominator for the two terms.\newlineSince the first term has a denominator of 55 and the second term has an implicit denominator of 11, the common denominator will be 55.
  2. Express Second Term: Express the second term with the common denominator.\newlineTo do this, we multiply both the numerator and the denominator of the second term by 55.\newline7c×(55)=35c57c \times \left(\frac{5}{5}\right) = \frac{35c}{5}
  3. Combine Fractions: Combine the two fractions over the common denominator.\newlineNow that both terms have the same denominator, we can combine them into a single fraction.\newline(6c55)+(35c5)=6c5+35c5(\frac{6c^5}{5}) + (\frac{35c}{5}) = \frac{6c^5 + 35c}{5}
  4. Check Simplification: Check if the numerator can be simplified.\newlineIn this case, there are no common factors between 6c56c^5 and 35c35c other than cc, and they are not like terms, so the numerator cannot be simplified further.

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