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What is the value of (x^(2))/(y^(4)) when 
x=8 and y=2 ?
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What is the value of (x2y4)(\frac{x^{2}}{y^{4}}) when \newlinex=8x=8 and y=2y=2?\newline

Full solution

Q. What is the value of (x2y4)(\frac{x^{2}}{y^{4}}) when \newlinex=8x=8 and y=2y=2?\newline
  1. Identify Expression: We are given:\newlinex=8x = 8\newliney=2y = 2\newlineExpression = x2y4\frac{x^{2}}{y^{4}}\newlineIdentify the expression after substituting the value of xx and yy.\newlineSubstitute 88 for xx and 22 for yy in x2y4\frac{x^{2}}{y^{4}}.\newliney=2y = 200
  2. Calculate xx squared: Calculate the value of xx squared, which is 88 squared.\newline82=8×88^{2} = 8 \times 8\newline=64= 64
  3. Calculate yy to the power of 44: Calculate the value of yy to the power of 44, which is 22 to the power of 44.24=2×2×2×2=162^{4} = 2 \times 2 \times 2 \times 2 = 16
  4. Divide values: Divide the value of x2x^2 by the value of yy to the power of 44. \newline6416\frac{64}{16}\newline= 44

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