To find the product of the given expression, we can multiply all the terms together:
Product = (-8/11) * x^3 * y^2 * (-3/5) * xy * (-7/10) * x^2 * y^3
When multiplying variables with the same base, we add their exponents:
Product = ((-8/11) * (-3/5) * (-7/10)) * (x^(3+2+2) * y^(2+3))
Simplifying the constants:
Product = (168/550) * (x^7 * y^5)
So, the product of the given expression is (168/550) * x^7 * y^5.
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Verified answer
To find the product of the given expression, we can multiply all the terms together:
Product = (-8/11) * x^3 * y^2 * (-3/5) * xy * (-7/10) * x^2 * y^3
When multiplying variables with the same base, we add their exponents:
Product = ((-8/11) * (-3/5) * (-7/10)) * (x^(3+2+2) * y^(2+3))
Simplifying the constants:
Product = (168/550) * (x^7 * y^5)
So, the product of the given expression is (168/550) * x^7 * y^5.