SUMMARY
The discussion focuses on simplifying the expression \(\frac{6x^{\frac{4}{5}}-3x^{\frac{2}{3}}}{3x^{\frac{1}{3}}}\). The recommended approach involves factoring out a "3" to yield \(\frac{2x^{\frac{4}{5}}-x^{\frac{2}{3}}}{x^{\frac{1}{3}}}\). Subsequently, the denominator \(x^{\frac{1}{3}}\) is rewritten as \(x^{-\frac{1}{3}}\) in the numerator, applying the laws of exponents to combine terms. This method effectively simplifies the expression using fundamental algebraic principles.
PREREQUISITES
- Understanding of fractional exponents
- Familiarity with algebraic expressions
- Knowledge of factoring techniques
- Proficiency in applying laws of exponents
NEXT STEPS
- Study the laws of exponents in detail
- Practice simplifying expressions with fractional exponents
- Learn factoring techniques for algebraic expressions
- Explore advanced algebraic manipulation methods
USEFUL FOR
Students struggling with algebra, educators teaching fractional exponents, and anyone looking to enhance their skills in simplifying complex algebraic expressions.