Question

Perform the indicated operations. $$ \left(-3 a b^{2}\right)(5 a b) $$

   Perform the indicated operations.
$$
\left(-3 a b^{2}\right)(5 a b)
$$

Intermediate Algebra

Intermediate Algebra

Alan S. Tussy, R.… 5th Edition

Chapter 5, Problem 91

Instant Answer

Solved by Expert Derrick Hanson

08/20/2020

Step 1

In this case, we have -3 and 5. Multiplying these together gives us -15. Show more…

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Perform the indicated operations. $$ \left(-3 a b^{2}\right)(5 a b) $$

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Key Concepts

Multiplication of Algebraic Expressions

This concept involves multiplying algebraic terms by multiplying their numerical coefficients and their variable parts separately. It requires combining like factors and applying the appropriate arithmetic operations to obtain a simplified product.

Multiplication of Coefficients

When multiplying two algebraic expressions, the numerical parts (coefficients) are multiplied together using normal arithmetic multiplication. This step ensures the overall numerical coefficient in the resulting expression is correct.

Exponent Rules

When multiplying variables that have the same base, you add the exponents. This rule simplifies the multiplication of terms with identical variable bases, leading to a concise expression with the correct variable powers.

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