(6a%5E3b%5E2z%5E5).jpeg "(2a^2b^4z)(6a^3b^2z^5)")
Simplifying the Expression (2a²b⁴z)(6a³b²z⁵)
This expression involves multiplying two monomials. Let's break down how to simplify it:
Understanding the Concepts
- Monomial: A monomial is a single term algebraic expression. It consists of a coefficient (a number) and one or more variables raised to non-negative integer powers. For example, 2a²b⁴z and 6a³b²z⁵ are monomials.
- Multiplication of Monomials: To multiply monomials, we follow these steps:
- Multiply the coefficients: Multiply the numerical coefficients together.
- Multiply the variables: Multiply the variables together by adding their exponents.
Simplifying the Expression
- Multiply the coefficients: 2 * 6 = 12
- Multiply the 'a' terms: a² * a³ = a^(2+3) = a⁵
- Multiply the 'b' terms: b⁴ * b² = b^(4+2) = b⁶
- Multiply the 'z' terms: z * z⁵ = z^(1+5) = z⁶
Therefore, (2a²b⁴z)(6a³b²z⁵) simplifies to 12a⁵b⁶z⁶