I chose to explain my learning of solving fraction exponents because I found it challenging at first but then realized that knowing how to solve this will make future equations easier and faster to solve. When given an equation with having to find a root of a number that has an exponent it is easiest and faster to solve when converting it back into a fraction exponent with no root. Any easy trick to remember where to place the denominator of a fraction exponent into a root equation is, “Flower Power,” the bottom of the flower is roots which is the example of a fraction exponent, the denominator being the ‘root’.
The questions within the yellow circle demonstrate solving a root question with the use of fraction exponents. Question 6b is asking for the fourth root of 8 to the exponent of 3. In order to solve this we need to convert back into a fraction exponent. If we remember flower power than we remember that the root is the denominator, so fourth root becomes the bottom of the fraction, whilst the exponent attached to 8 becomes the numerator above 4. Now we are left with 81x 3/4. Knowing how to convert this simple root question back into a fraction exponent will help a lot with the questions below which have more steps.