Question

Simplify $\frac{6 x^{-3} y^{4}}{18 x^{-2} y^{3}}$

Name: Problem 136, Chapter 10: Intermediate Algebra for College Students
Uploaded: 2020-07-11T01:09:31-08:00
Duration: 2 min 17 s
Channel: Ankit Gupta
Description: Simplify (6 x^-3 y^4)/(18 x^-2 y^3)

   Simplify $\frac{6 x^{-3} y^{4}}{18 x^{-2} y^{3}}$

Intermediate Algebra for College Students

Allen R. Angel;… 10th Edition

Chapter 10, Problem 136

Instant Answer

Solved by Expert Ankit Gupta

07/11/2020

Step 1

First, we can simplify the coefficients by dividing 6 by 18, which gives us $\frac{1}{3}$. Show more…

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Simplify $\frac{6 x^{-3} y^{4}}{18 x^{-2} y^{3}}$

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Key Concepts

Simplifying Rational Expressions

This concept involves reducing expressions that are ratios of polynomials or algebraic expressions by canceling common factors in the numerator and denominator, which often includes applying exponent rules and dealing with numerical coefficients.

Negative Exponents

Negative exponents indicate reciprocal relationships. An expression raised to a negative exponent represents the inverse of that expression raised to the corresponding positive exponent.

Exponent Rules

This concept refers to the set of rules that govern operations on expressions with exponents, such as the product, quotient, and power rules. When dividing expressions with the same base, the exponent in the denominator is subtracted from the exponent in the numerator.

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