Rational exponents can be defined as an exponent that is written as a fraction. It represents both an integer exponent and the nth root. Nth root is the number which must be multiplied n times by itself to equal a given value. It can be written as nx or xn1. the base is the x while the exponent is 1n. In any situation, the exponent is always applied first while rewriting any equation followed by the radical, but if the base is negative, taking roots is no simpler but it requires a complex number exponentiation. They are real numbers that can be expressed either while writing a definition essay as a ratio of 2 finite integers: x = L/M, L ∈ Z, M ∈ Z Applying the property 2 of exponents, we have: ax = aL/M = (a1/M)L Thus, we have: a1/M. Since (a1/M)M = aM/M = a. We see that a1/M is the Mth root of a. The Mth root of a real number is not unique.