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30x8y412x5y6\frac{30x^8y^4}{12x^5y^6}

Full solution

Q. 30x8y412x5y6\frac{30x^8y^4}{12x^5y^6}
  1. Identify Coefficients and Variables: Identify the coefficients and separate the variables for simplification.\newline3012\frac{30}{12} reduces to 52\frac{5}{2}.\newlinex8/x5x^8/x^5 simplifies to x(85)=x3x^{(8-5)} = x^3.\newliney4/y6y^4/y^6 simplifies to y(46)=y2y^{(4-6)} = y^{-2}.
  2. Combine Simplified Parts: Combine the simplified parts. (52)×x3×y2(\frac{5}{2}) \times x^3 \times y^{-2}.
  3. Rewrite for Clarity: Rewrite y2y^{-2} as 1y2\frac{1}{y^2} for clarity.\newline(52)×x3×(1y2)(\frac{5}{2}) \times x^3 \times (\frac{1}{y^2}).