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 their exponents. For example, when multiplying (-3m⁴) by (6m²), you multiply -3 and 6 to get -18, and then add the exponents of m, resulting in m^(4+2) = m⁶. This principle is essential for simplifying expressions involving powers of the same base.
Recommended video:
Determining Different Coordinates for the Same Point
Properties of Exponents
The properties of exponents dictate how to handle operations involving powers. Key rules include the product of powers (a^m * a^n = a^(m+n)) and the power of a product ((ab)^n = a^n * b^n). Understanding these rules is crucial for simplifying expressions with variables raised to powers.
Recommended video:
Imaginary Roots with the Square Root Property
Combining Like Terms
Combining like terms is the process of simplifying expressions by adding or subtracting terms that have the same variable raised to the same power. In the expression (-18m⁶)(-4m⁵), after multiplying, you would combine the resulting terms to express the final answer in its simplest form, ensuring clarity and conciseness in the expression.
Recommended video:
Adding and Subtracting Complex Numbers