Summary of Rational Exponents

Rational Exponents

• Focus on the task of factorizing expressions with positive exponents.

• Example 2.3:

  • Given expression:
    $4(3x+5)^{1/3}(2x+3)^{3/2} - 2(3x+5)^{4/3}(2x+3)^{1/2}$

  • Second part:
    $x - 6x^{1/2}(x^2 + x) - 8x^{3/2} - 8x^{1/2}$

• Solution Condition:

  • Maintain that $x \geq 0$ for the factorization to hold.