Question

question
fully simplify.
$6x^4y^2(x^3y^3)$

Explanation:

Step1: Use the distributive property (multiply coefficients and like variables)

First, multiply the coefficient (6) with the terms inside the parentheses. For the variables with the same base, use the rule of exponents \(a^m \cdot a^n = a^{m + n}\). So for \(x\): \(x^4 \cdot x^3\) and for \(y\): \(y^2 \cdot y^3\).
The expression becomes \(6\times(x^{4 + 3})\times(y^{2 + 3})\)

Step2: Simplify the exponents

Calculate the exponents: \(4 + 3 = 7\) for \(x\) and \(2 + 3 = 5\) for \(y\).
So we have \(6x^7y^5\)

Answer:

\(6x^7y^5\)