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

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

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Full solution

Q. Simplify the expression:

(3x^{9}y^{-4})(-4x^{5}y^{7})

Multiply Coefficients and Like Terms: Multiply the coefficients and the like terms separately. $\newline$ Calculation: $(3)(-4) = -12$ for coefficients, $x^{(9+5)} = x^{14}$ for $x$ terms, and $y^{(-4+7)} = y^{3}$ for $y$ terms.
Combine Results: Combine the results from the previous step to form the final expression. $\newline$ Calculation: $-12x^{14}y^{3}$

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