Simplify each exponential expression: (-5x^3y^2)(-2x^(-11)y^(-2))
Verified step by step guidance
1
Identify the expression to simplify: .
Apply the property of exponents: to combine like bases.
Combine the terms: .
Combine the terms: .
Multiply the coefficients: .
Recommended similar problem, with video answer:
Verified Solution
This video solution was recommended by our tutors as helpful for the problem above
Video duration:
4m
Play a video:
Was this helpful?
Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Exponential Rules
Exponential rules govern how to manipulate expressions involving exponents. Key rules include the product of powers (a^m * a^n = a^(m+n)), the power of a power (a^m)^n = a^(m*n), and the negative exponent rule (a^(-n) = 1/a^n). Understanding these rules is essential for simplifying expressions with exponents.
Multiplying polynomials involves distributing each term in one polynomial to every term in another. This process requires careful attention to both the coefficients and the variables, ensuring that like terms are combined correctly. In the given expression, this principle is applied to combine the terms of the two products.
Multiply Polynomials Using the Distributive Property
Combining Like Terms
Combining like terms is the process of simplifying expressions by adding or subtracting terms that have the same variable raised to the same power. This is crucial in polynomial expressions, as it helps to reduce the expression to its simplest form. In the context of the given problem, it allows for the consolidation of terms after multiplication.