(-3x%5E2y%5E3).jpeg "(8x^3y^2)(-3x^2y^3)")
Multiplying Monomials: (8x³y²)(-3x²y³)
This article will explain how to multiply the monomials (8x³y²) and (-3x²y³).
Understanding Monomials
Monomials are algebraic expressions that consist of a single term. This term can be a constant, a variable, or a product of constants and variables. In our example, both (8x³y²) and (-3x²y³) are monomials.
Multiplication of Monomials
To multiply monomials, we follow these simple steps:
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Multiply the numerical coefficients: In our case, this means multiplying 8 and -3, resulting in -24.
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Multiply the variables with the same base: We have x³ and x², which multiply to x⁵ (remember to add the exponents when multiplying variables with the same base). Similarly, y² and y³ multiply to y⁵.
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Combine the results: Combining the results from steps 1 and 2, we get -24x⁵y⁵.
Conclusion
Therefore, the product of (8x³y²) and (-3x²y³) is -24x⁵y⁵. This demonstrates the basic principles of multiplying monomials involving numerical coefficients and variables with exponents.