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Simplify. Express your answer as a single fraction in simplest form. \newlinep4q45+8q3\frac{p^4q^4}{5} + \frac{8q}{3}

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Full solution

Q. Simplify. Express your answer as a single fraction in simplest form. \newlinep4q45+8q3\frac{p^4q^4}{5} + \frac{8q}{3}
  1. Find LCM of denominators: Find the least common multiple (LCM) of the denominators 55 and 33. The LCM is 1515.
  2. Make denominators the same: Make the denominators the same by multiplying the first fraction by 33 and the second fraction by 55. This gives us (3p4q4)/15+(40q)/15(3p^4q^4)/15 + (40q)/15.
  3. Simplify the expression: Simplify the expression by adding the numerators since the denominators are the same. The final simplified expression is (3p4q4+40q)/15(3p^4q^4 + 40q)/15.

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