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9x4y53x8y3\frac{9x^4y^5}{3x^8y^3}

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Q. 9x4y53x8y3\frac{9x^4y^5}{3x^8y^3}
  1. Simplify Coefficients: Step Title: Simplify the Coefficients\newlineReasoning: Divide the numerical coefficients.\newlineCalculation: 9/3=39 / 3 = 3.
  2. Simplify xx Terms: Step Title: Simplify the xx terms\newlineReasoning: Use the properties of exponents to divide xx terms, xa/xb=x(ab)x^a / x^b = x^{(a-b)}.\newlineCalculation: x4/x8=x(48)=x4x^4 / x^8 = x^{(4-8)} = x^{-4}.
  3. Simplify yy Terms: Step Title: Simplify the yy terms\newlineReasoning: Use the properties of exponents to divide yy terms, ya/yb=y(ab)y^a / y^b = y^{(a-b)}.\newlineCalculation: y5/y3=y(53)=y2y^5 / y^3 = y^{(5-3)} = y^2.