Here are the essential concepts you must grasp in order to answer the question correctly.
Multiplication of Monomials
Multiplying monomials involves multiplying their coefficients and adding the exponents of like variables. For example, in the expression (5x^2y)(-3x^3y^4), the coefficients 5 and -3 multiply to give -15, while the exponents of x and y are added: x^(2+3) and y^(1+4). This process simplifies the expression systematically.
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Exponent Rules
Exponent rules are essential for simplifying expressions involving powers. The key rules include the product of powers rule, which states that when multiplying like bases, you add the exponents. This is crucial in the given expression, as it allows for the correct combination of the x and y terms when simplifying.
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Combining Like Terms
Combining like terms is the process of simplifying expressions by merging terms that have the same variable raised to the same power. In the context of the expression (5x^2y)(-3x^3y^4), after applying multiplication and exponent rules, the resulting terms can be combined to present the final simplified form clearly.
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