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1+9n4=521+9n^4=52

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Q. 1+9n4=521+9n^4=52
  1. Isolate n term: Subtract 11 from both sides of the equation to isolate the term containing nn. \newline1+9n4−1=52−11 + 9n^4 - 1 = 52 - 1\newlineThis simplifies to:\newline9n4=519n^4 = 51
  2. Divide by 99: Divide both sides of the equation by 99 to solve for n4n^4.\newline9n49=519\frac{9n^4}{9} = \frac{51}{9}\newlineThis simplifies to:\newlinen4=519n^4 = \frac{51}{9}
  3. Simplify fraction: Simplify the fraction on the right side of the equation. n4=173n^4 = \frac{17}{3}
  4. Take fourth root: Take the fourth root of both sides to solve for nn.\newlineSince n4=173n^4 = \frac{17}{3}, we have:\newlinen=(173)14n = \left(\frac{17}{3}\right)^{\frac{1}{4}}

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