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Simplify the expression: (3x^(9)y^(-4))(-4x^(5)y^(7))

Simplify the expression: (3x9y−4)(−4x5y7)(3x^{9}y^{-4})(-4x^{5}y^{7})

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Full solution

Q. Simplify the expression: (3x9y−4)(−4x5y7)(3x^{9}y^{-4})(-4x^{5}y^{7})
  1. Multiply Coefficients and Like Terms: Multiply the coefficients and the like terms separately.\newlineCalculation: (3)(−4)=−12(3)(-4) = -12 for coefficients, x(9+5)=x14x^{(9+5)} = x^{14} for xx terms, and y(−4+7)=y3y^{(-4+7)} = y^{3} for yy terms.
  2. Combine Results: Combine the results from the previous step to form the final expression.\newlineCalculation: −12x14y3-12x^{14}y^{3}

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