\(\frac{-2(5x^3y^2)^2}{10xy}\)
Fisrt, distribute the square.
\(\frac{-2(25x^6y^4)}{10xy}\)
Distirbute the -2.
\(\frac{-50x^6y^4}{10xy}\)
Consider that a variable without a power is the same as that variable to the power of 1: x = x1
If a variable with a power is divide by the same variable with a lower power, the powers subtract: x6/x3=x6-3=x3
Simplify.
-50/10=-5
\(\frac{-5x^6y^4}{x^1y^1}\)
Subtract powers.
\(-5x^5y^3\)
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