Simplify (-2x^5y^3)*(3x^-1y^5)

Problem

(−2*x5*y3)*(3*x(−1)*y5)

Solution

1. Group the coefficients and variables by rearranging the terms using the commutative property of multiplication.

(−2⋅3)*(x5⋅x(−1))*(y3⋅y5)

2. Multiply the numerical coefficients together.

−2⋅3=−6

3. Apply the product rule for exponents to the x variables by adding their exponents.

x5⋅x(−1)=x(5+(−1))=x4

4. Apply the product rule for exponents to the y variables by adding their exponents.

y3⋅y5=y(3+5)=y8

5. Combine the results into a single simplified expression.

−6*x4*y8

Final Answer

(−2*x5*y3)*(3*x(−1)*y5)=−6*x4*y8

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