The concept of rational exponents essentially comes from expanding the rules of integer exponents, creating a way to express radicals. As an instance, we establish 51/3 as the cube root of 5 to maintain equality in the equation (51/3)3 = 5.

It's possible to transcribe equations with radicals and rational exponents by utilising exponent laws.

The resultant of adding or multiplying two rational numbers is always rational; however, if a rational number is added or multiplied to an irrational number, the outcome remains irrational.