Perform the indicated operations and simplify. (45 a^2 b^3)/(12 a b^5 c^2) ·(6 b^4 c)/(10 a b)

Name: Problem 88, Chapter 7: Intermediate Algebra: Connecting Concepts through Applications
Uploaded: 2022-03-25T19:59:23-08:00
Duration: 1 min 20 s
Channel: Alison Rodriguez
Description: Perform the indicated operations and simplify. (45 a^2 b^3)/(12 a b^5 c^2) ·(6 b^4 c)/(10 a b)

step 1 doing a problem like this you're multiplying two things that have only monomials in them my advi

Perform the indicated operations and simplify. (45 a^2...

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Key Concepts

Multiplication of Rational Expressions

This concept involves multiplying fractions by multiplying their numerators together and their denominators together. It is a fundamental operation in algebra that is used to combine ratios into a single fraction before simplifying the result.

Properties of Exponents

In expressions with variables raised to powers, the laws of exponents are applied to multiply or divide like bases. Specifically, when multiplying like bases you add the exponents, and when dividing you subtract the exponents, enabling the systematic simplification of terms.

Cancellation and Simplification

After performing the multiplication, common factors in the numerator and denominator are identified and cancelled. This process often includes simplifying numerical coefficients by dividing by their greatest common divisor, leading to a more reduced and manageable expression.

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