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Simplify. Express your answer as a single fraction in simplest form. $\newline$ $\frac{3}{s^5} + 5$

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Simplify mixed rational expressions

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Q. Simplify. Express your answer as a single fraction in simplest form.

\newline

\frac{3}{s^5} + 5

Identify Given Expression: Identify the given expression and the goal. $\newline$ We have the expression $\frac{3}{s^5} + 5$ . We want to combine these terms into a single fraction in simplest form.
Find Common Denominator: Find a common denominator for the terms. $\newline$ Since $5$ can be written as $\frac{5}{1}$ , we can rewrite the expression with a common denominator of $s^5$ . To do this, we multiply $\frac{5}{1}$ by $\frac{s^5}{s^5}$ . $\newline$ $\frac{3}{s^5} + \frac{5 \cdot s^5}{1 \cdot s^5}$
Perform Multiplication: Perform the multiplication for the second term. $\newline$ $\frac{3}{s^5} + \frac{5s^5}{s^5}$
Combine Over Common Denominator: Combine the terms over the common denominator. $(3 + 5s^5)/s^5$
Check for Further Simplification: Check if the fraction can be simplified further. The numerator $3 + 5s^5$ and the denominator $s^5$ do not have any common factors other than $1$ , so the fraction is already in simplest form.

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