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 bases. For example, when multiplying (5x²y) and (-3x³y⁴), you multiply 5 and -3 to get -15, and for the variable x, you add the exponents 2 and 3 to get x⁵. Similarly, for y, you add the exponents 1 and 4 to get y⁵.
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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 (5x²y)(-3x³y⁴), after applying multiplication and exponent rules, the resulting terms can be combined to form a single simplified expression, ensuring clarity and conciseness.
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