The potentiation of algebraic fractions uses the same process as numerical fractions, the exponent needs to be applied to both the numerator and the denominator, considering the denominator value different from zero. After the development of the potentiation, if applicable, simplify the fraction by dividing its elements by the same number, that is, by the divisor common to the numerator and divisor. Take a look at some examples:
Numerical Fractions
Algebraic Fractions
In cases where the exponent has a negative sign, we must invert the base and change the sign of the exponent to positive. Once this process is done, just apply the exponent to the numerator and denominator. Watch:
Some situations require more complexity in the calculations, using the properties studied as sum of fractions with denominators different, mmc of polynomials, negative exponent, division of fractions, multiplication of fractions, potentiation and simplification of terms similar. Look:
by Mark Noah
Graduated in Mathematics
Brazil School Team
fractions - Math - Brazil School
Source: Brazil School - https://brasilescola.uol.com.br/matematica/potenciacao-fracoes-algebricas.htm