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Simplify. Express your answer as a single fraction in simplest form. \newline4b5c4+c\frac{4}{b^5c^4} + c

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Q. Simplify. Express your answer as a single fraction in simplest form. \newline4b5c4+c\frac{4}{b^5c^4} + c
  1. Find Common Denominator: To combine the terms into a single fraction, we need to have a common denominator. The first term has a denominator of b5c4b^5c^4, and the second term, which is just cc, can be thought of as c/1c/1. To combine these, we need to multiply cc by b5c4b^5c^4 to have the same denominator for both terms.
  2. Multiply Second Term: Now we multiply cc by b5c4b5c4\frac{b^5c^4}{b^5c^4} to create a fraction with the same denominator as the first term.\newlinec×(b5c4b5c4)=cb5c4b5c4c \times \left(\frac{b^5c^4}{b^5c^4}\right) = \frac{cb^5c^4}{b^5c^4}
  3. Write Second Term: We can now write the second term with the common denominator: c=cb5c4b5c4c = \frac{cb^5c^4}{b^5c^4}
  4. Combine Fractions: Now we can combine the two fractions: 4b5c4+cb5c4b5c4\frac{4}{b^{5}c^{4}} + \frac{cb^{5}c^{4}}{b^{5}c^{4}}
  5. Add Numerators: Adding the numerators together while keeping the common denominator gives us: \newlineegin{equation}\newline\frac{44 + cb^55c^44}{b^55c^44}\newline\end{equation}
  6. Simplify Expression: We can simplify the numerator by combining like terms, but in this case, there are no like terms to combine. So, the expression is already in its simplest form.

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