Q. Simplify. Express your answer as a single fraction in simplest form. b5c44+c
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 b5c4, and the second term, which is just c, can be thought of as c/1. To combine these, we need to multiply c by b5c4 to have the same denominator for both terms.
Multiply Second Term: Now we multiply c by b5c4b5c4 to create a fraction with the same denominator as the first term.c×(b5c4b5c4)=b5c4cb5c4
Write Second Term: We can now write the second term with the common denominator: c=b5c4cb5c4
Combine Fractions: Now we can combine the two fractions: b5c44+b5c4cb5c4
Add Numerators: Adding the numerators together while keeping the common denominator gives us: egin{equation}\frac{4 + cb^5c^4}{b^5c^4}\end{equation}
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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