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Simplify. Express your answer as a single fraction in simplest form. \newliney42+7\frac{y^4}{2} + 7

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Q. Simplify. Express your answer as a single fraction in simplest form. \newliney42+7\frac{y^4}{2} + 7
  1. Find Common Denominator: We have the expression y4/2+7y^4/2 + 7. To combine these into a single fraction, we need to have a common denominator. Since 77 can be written as 7/17/1, we can find a common denominator by multiplying the numerator and denominator of 77 by 22.
  2. Rewrite 77 with Common Denominator: Now we rewrite 77 with the common denominator of 22: 7×(22)=1427 \times (\frac{2}{2}) = \frac{14}{2}.
  3. Combine Fractions: Next, we combine the two fractions with the common denominator: y42+142\frac{y^4}{2} + \frac{14}{2}.
  4. Add Numerators: We add the numerators while keeping the common denominator: (y4+14)/2(y^4 + 14)/2.
  5. Simplify Expression: The expression (y4+14)/2(y^4 + 14)/2 is already in its simplest form because the numerator and denominator have no common factors other than 11.

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