%5E3-simplify.jpeg "(2x^2y^3)^3 Simplify")
Simplifying the Expression (2x^2y^3)^3
In this article, we will simplify the algebraic expression (2x^2y^3)^3.
Step 1: Understand the Expression
The given expression is (2x^2y^3)^3. To simplify this expression, we need to follow the order of operations (PEMDAS):
- Exponents
- Multiplication and Division (from left to right)
- Addition and Subtraction (from left to right)
Step 2: Apply the Power Rule
Using the power rule, we can rewrite the expression as:
(2^3)(x^2)^3(y^3)^3
= 8x^6y^9
Explanation
In the above step, we applied the power rule, which states that when we raise a power to another power, we multiply the exponents. Therefore, (x^2)^3 becomes x^6 and (y^3)^3 becomes y^9. Similarly, 2^3 is equal to 8.
Final Answer
The simplified expression is:
8x^6y^9
Conclusion
In this article, we successfully simplified the algebraic expression (2x^2y^3)^3 using the power rule. The final simplified expression is 8x^6y^9.
