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Simplify. Express your answer as a single fraction in simplest form. \newline4c4d4+5c\frac{4}{c^4d^4} + 5c

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Q. Simplify. Express your answer as a single fraction in simplest form. \newline4c4d4+5c\frac{4}{c^4d^4} + 5c
  1. Identify Common Denominator: Identify the common denominator for the two terms in the expression.\newlineSince the first term has a denominator of c4d4c^4d^4 and the second term is not a fraction, we can consider its denominator as 11. The common denominator will be c4d4c^4d^4.
  2. Express Second Term as Fraction: Express the second term as a fraction with the common denominator.\newlineTo do this, we multiply both the numerator and the denominator of the second term 5c5c by c4d4c^4d^4.\newline5c×c4d4c4d4=5c5d4c4d45c \times \frac{c^4d^4}{c^4d^4} = \frac{5c^5d^4}{c^4d^4}
  3. Rewrite Expression with Common Denominator: Rewrite the expression with both terms over the common denominator.\newlineNow we have:\newline(4+5c5d4)/c4d4(4 + 5c^5d^4) / c^4d^4
  4. Combine Numerators: Combine the numerators over the common denominator.\newlineSince we have a common denominator, we can combine the numerators:\newline(4+5c5d4)/c4d4(4 + 5c^5d^4) / c^4d^4
  5. Check for Further Simplification: Check if the expression can be simplified further.\newlineIn this case, the numerator does not have any common factors with the denominator, so the expression is already in its simplest form.
  6. Write Final Answer: Write the final answer.\newlineThe simplified expression as a single fraction in simplest form is:\newline(4+5c5d4)/c4d4(4 + 5c^5d^4) / c^4d^4

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