How to solve fractional exponent

Definition:

In simple words, Exponent means how many times a number is repeated in multiplication. A fraction having exponent form and following rules which is followed by the integers. A fractional exponents form is 1/n. taking the nth root for solving the fraction. Examples of fractional exponents 4^1/3, 5^2.5

Solving fractional exponents is nothing but an algebraic exponents, which has a fractional value in the exponenent term. The exponenets is nothing but the base terms expressed in power for example aⁿ , here base "a" expressed in power n .

Laws for fractional exponents:

B^x/y = ^y√B^x

B^x/n / B^y/n = B^(x-y)/n

B^x/n B^y/n = B^(x+y)/n

(B^x/n)^y/n = B^(xy)/n

How to solve fractional exponent

Example: Solve 9^2.5

Solution:

9^2.5 = 9² * 9^0.5

=9² * 9^1/2

=81*3

=243

The answer is 243