Question

Find each product. $\left(-8 a^{2} b^{2}\right)\left(-3 a b^{3}\right)$

Name: Problem 6, Chapter 3: Intermediate Algebra
Uploaded: 2022-02-27T19:03:15-08:00
Duration: 10 s
Channel: Erika Bustos
Description: Find each product. (-8 a^2 b^2)(-3 a b^3)

   Find each product.
$\left(-8 a^{2} b^{2}\right)\left(-3 a b^{3}\right)$

Intermediate Algebra

Jerome E. Kaufmann,… 10th Edition

Chapter 3, Problem 6

Instant Answer

Solved by Expert Erika Bustos

02/27/2022

Step 1

The coefficients are -8 and -3. The product of -8 and -3 is 24. Show more…

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Find each product. $\left(-8 a^{2} b^{2}\right)\left(-3 a b^{3}\right)$

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Key Concepts

Multiplying Integers and Handling Signs

This concept involves understanding how to multiply integers and manage signs correctly. When multiplying two negative numbers, the product is positive. Accurately handling the coefficients, especially when they have different signs, is essential for finding the correct product in polynomial multiplication.

Multiplying Monomials

This concept involves multiplying monomials, which are algebraic expressions consisting of a coefficient and variables raised to powers. To multiply monomials, you multiply the coefficients together and apply the rules of exponents to the variables, combining like bases by adding their exponents.

Rules of Exponents

The rules of exponents state that when you multiply expressions with the same base, you add their exponents. This is crucial when multiplying terms such as a^m × a^n, which simplifies to a^(m+n). Understanding these rules allows you to simplify the multiplication of variables efficiently.

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