(-4m^2n^3)(2mn)

Jasonbradley

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Jun 16, 2024

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Simplifying Algebraic Expressions: (-4m^2n^3)(2mn)

In mathematics, simplifying expressions often involves combining like terms and applying the rules of exponents. Let's break down the simplification of the expression (-4m^2n^3)(2mn).

Understanding the Rules

• Multiplication of Monomials: When multiplying monomials, we multiply the coefficients and add the exponents of the same variables.
• Exponents: Remember that x^m * x^n = x^(m+n).

Simplifying the Expression

1. Multiply the coefficients: (-4) * (2) = -8
2. Multiply the 'm' terms: m^2 * m = m^(2+1) = m^3
3. Multiply the 'n' terms: n^3 * n = n^(3+1) = n^4

The Final Result

By combining the steps above, the simplified expression is:

(-4m^2n^3)(2mn) = -8m^3n^4

Therefore, the simplified form of the expression (-4m^2n^3)(2mn) is -8m^3n^4.