Simplifying Expressions with Rational Exponents

³√X⁶ Y⁹

                  

      X⁻⁴

Step 1: According to the Laws of the Exponents it says that the 3 outside of the root can be brought back inside of the root to get rid of the root making the equation become:

X⁶/ ³ Y⁹/³

                   

      X⁻⁴

Step 2: Then simplify the exponents on the numerator making the equation become:

X² Y³ 

         

 X⁻⁴

Step 3:  X⁻⁴ on the denominator means that because of that negative exponent it needs to be moved out of the fraction in order to get rid of the negative, so the equation becomes:

X² Y³ X⁴

Step 4: Then simplify the equation

X⁶ Y³