-4-(x-4-y-5-)-10.jpeg "(2x 2 Y) 4 (x 4 Y 5 ) 10")
Simplifying Algebraic Expressions
In this article, we will simplify the algebraic expression (2x 2 y) 4 (x 4 y 5 ) 10.
Step 1: Simplify the Expression Inside the Parentheses
First, let's simplify the expressions inside the parentheses:
(2x 2 y) = 2x^2 y
(x 4 y 5 ) = x^4 y^5
Step 2: Simplify the Entire Expression
Now, let's simplify the entire expression:
(2x^2 y) 4 (x^4 y^5 ) 10
Combine Like Terms
We can combine the like terms:
2x^2 y^1 * x^4 y^5 * 10
Apply Exponent Rules
Now, let's apply the exponent rules:
2x^(2+4) * y^(1+5) * 10
2x^6 * y^6 * 10
Simplify the Constant Term
Finally, let's simplify the constant term:
20x^6 * y^6
And that's the simplified expression!
Conclusion
In this article, we simplified the algebraic expression (2x 2 y) 4 (x 4 y 5 ) 10 and obtained the simplified expression 20x^6 * y^6.
