(4xy%5E2)-in-simplest-form.jpeg "(3x^2y^4)(4xy^2) In Simplest Form")
Simplifying Algebraic Expressions: (3x^2y^4)(4xy^2)
When working with algebraic expressions, it's often necessary to simplify them to make them easier to work with. In this article, we'll explore how to simplify the expression (3x^2y^4)(4xy^2).
The Given Expression
The expression we're working with is:
(3x^2y^4)(4xy^2)
Step 1: Multiply the Coefficients
To start, we'll multiply the coefficients (numbers) outside the variables:
3 × 4 = 12
So, the expression becomes:
12x^2y^4xy^2
Step 2: Multiply the Variables
Next, we'll multiply the variables (letters) with their respective exponents:
x^2 × x = x^(2+1) = x^3
y^4 × y^2 = y^(4+2) = y^6
So, the expression becomes:
12x^3y^6
The Simplified Expression
The simplified expression is:
12x^3y^6
And that's it! We've successfully simplified the expression (3x^2y^4)(4xy^2) to its simplest form, which is 12x^3y^6.
