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Simplify. Express your answer as a single fraction in simplest form. \newline5b4+b\frac{5}{b^4} + b

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Q. Simplify. Express your answer as a single fraction in simplest form. \newline5b4+b\frac{5}{b^4} + b
  1. Find Common Denominator: To combine the terms into a single fraction, we need to find a common denominator. The first term has a denominator of b4b^4, and the second term has an implied denominator of 11. The common denominator will be b4b^4.
  2. Rewrite Second Term: We rewrite the second term with the common denominator by multiplying both the numerator and the denominator by b4b^4. \newlineb×(b4b4)=b5b4b \times \left(\frac{b^4}{b^4}\right) = \frac{b^5}{b^4}
  3. Combine with Common Denominator: Now we rewrite the entire expression with the common denominator: \newlineegin{equation}\newline\left(\frac{55}{b^44}\right) + \left(\frac{b^55}{b^44}\right)\newline\end{equation}
  4. Combine Numerators: Combine the numerators over the common denominator: (5+b5)/b4(5 + b^5) / b^4
  5. Check for Simplification: The expression is now a single fraction. We check to see if the numerator and denominator have any common factors that can be simplified. Since 55 and b5b^5 do not have any common factors, the fraction is already in simplest form.

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