This week I learned how to deal with fraction exponents. More specifically I learned how to turn fraction exponents into radicals and solve. 

Step 1- to convert from a fraction to a radical you have to take the base which is 81 in this example and put it as the radicant.

Step 2- take the denominator of the fraction and put it as the index which is 4 in this case

Step 3- take the numerator of the fraction and put it as the exponent attached to the radicant.

Step 4- to solve find the 4th square root of 81 which is 3 because 3x3x3x3=81

Step 5- Now 3 still has the 3 exponent attached to it so now 3 to the power of 3 is 27 and that is the final answer.

When converting radicals into single powers you take the radicant 81 and take it out of the radical. Then put the index as the denominator and the exponent as the numerator of the fraction exponent.