In the following exercises, simplify. (36 v^3 w^2)/(27 v w^3)

Name: Problem 24, Chapter 8: Elementary Algebra
Uploaded: 2021-07-14T19:04:32-08:00
Duration: 2 min 6 s
Channel: Chris Wojturski
Description: In the following exercises, simplify. (36 v^3 w^2)/(27 v w^3)

step 1 24, let's simplify this rational expression. And so all you have to be able to do here is reduce

In the following exercises, simplify. (36 v^3 w^2)/(27 v...

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Key Concepts

Rational Expressions

A rational expression is a fraction where both the numerator and the denominator are algebraic expressions. Simplifying these expressions involves identifying and canceling out common factors in order to write the expression in its simplest form.

Properties of Exponents

Exponent rules, such as a^m / a^n = a^(m-n), are essential for simplifying terms with variables raised to powers. These laws allow you to subtract exponents when dividing like bases, streamlining the process of reducing algebraic expressions.

Canceling Common Factors

The process of canceling involves removing factors that are common to both the numerator and the denominator. This technique is crucial in working with both the numerical coefficients and variables, ensuring that the expression is fully simplified.

Simplifying Numerical Coefficients

Simplifying numerical coefficients involves finding the greatest common divisor (GCD) of the numbers in the numerator and denominator and then dividing by it. This reduces the fraction to its simplest form, analogous to reducing a numerical fraction.

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