(-9x^3y)(-2x^6y^4)

Jasonbradley

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Jun 16, 2024

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Simplifying the Expression (-9x^3y)(-2x^6y^4)

This expression involves multiplying two monomials. To simplify it, we'll use the following rules of exponents:

• Product of powers: x^m * x^n = x^(m+n)
• Product of coefficients: (a * b) = ab

Let's break down the simplification:

1. Multiply the coefficients: (-9) * (-2) = 18
2. Multiply the x terms: x^3 * x^6 = x^(3+6) = x^9
3. Multiply the y terms: y * y^4 = y^(1+4) = y^5

Combining these results, we get:

(-9x^3y)(-2x^6y^4) = 18x^9y^5

Therefore, the simplified form of the expression is 18x^9y^5.