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Simplify. Express your answer as a single fraction in simplest form. \newline3v4+10w\frac{3}{v^4} + 10w

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Q. Simplify. Express your answer as a single fraction in simplest form. \newline3v4+10w\frac{3}{v^4} + 10w
  1. Identify common denominator: Identify the common denominator for the fractions.\newlineSince the first term is 3v4\frac{3}{v^4} and the second term is 10w10w (which can be written as 10w1\frac{10w}{1}), the common denominator is v4v^4.
  2. Express with common denominator: Express both terms with the common denominator.\newlineThe first term is already over v4v^4, so it remains 3v4\frac{3}{v^4}. The second term needs to be multiplied by v4v4\frac{v^4}{v^4} to have the common denominator, so it becomes 10wv41v4\frac{10w \cdot v^4}{1 \cdot v^4}.
  3. Combine over common denominator: Combine the terms over the common denominator.\newlineNow we add the two fractions together: (3v4)+(10wv4v4)=3+10wv4v4(\frac{3}{v^4}) + (\frac{10w \cdot v^4}{v^4}) = \frac{3 + 10w \cdot v^4}{v^4}.
  4. Simplify if possible: Simplify the expression if possible.\newlineIn this case, there is no further simplification possible, as 33 and 10w×v410w \times v^4 do not have common factors.

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