(-2ab%5E2)-4a%5E2b%5E10.jpeg "(6ab^8)(-2ab^2)-4a^2b^10")
Simplifying Algebraic Expressions: (6ab^8)(-2ab^2) - 4a^2b^10
In this article, we will simplify the algebraic expression (6ab^8)(-2ab^2) - 4a^2b^10. To do this, we need to follow the order of operations (PEMDAS) and combine like terms.
Step 1: Multiply the coefficients
First, we need to multiply the coefficients of the first term:
(6ab^8)(-2ab^2) = -12ab^(8+2)
Since the exponents are added, we get:
= -12ab^10
Step 2: Simplify the second term
The second term is already simplified, so we can move on to the next step.
Step 3: Combine like terms
Now, we need to combine the two terms:
-12ab^10 - 4a^2b^10
Since the terms have the same base (ab^10), we can combine them:
= -12ab^10 - 4a^1b^10
= -16ab^10
Therefore, the simplified form of the algebraic expression (6ab^8)(-2ab^2) - 4a^2b^10 is -16ab^10.
Conclusion
In this article, we have simplified the algebraic expression (6ab^8)(-2ab^2) - 4a^2b^10 by following the order of operations and combining like terms. The final answer is -16ab^10.
