%5E4-simplify.jpeg "(2x^3y)^4 Simplify")
Simplifying the Expression: (2x^3y)^4
In algebra, simplifying expressions is an essential skill to master. In this article, we will explore how to simplify the expression (2x^3y)^4.
Step 1: Apply the Power Rule
When we raise an expression to a power, we can apply the power rule, which states that:
(ab)^n = a^n * b^n
In our case, we have (2x^3y)^4. We can apply the power rule to simplify the expression:
(2x^3y)^4 = 2^4 * (x^3)^4 * y^4
Step 2: Simplify the Exponents
Now, let's simplify the exponents:
2^4 = 16(x^3)^4 = x^(3*4) = x^12y^4
So, our expression becomes:
(2x^3y)^4 = 16 * x^12 * y^4
Final Answer
The simplified expression is:
(2x^3y)^4 = 16x^12y^4
And that's it! We have successfully simplified the expression (2x^3y)^4.
