This week we learned more about the ways to deal with difficult questions involving exponents in the form of fractions. I was surprised to learn new ways to deal with questions like eighty-one to the power of one over ten. Simplifying these types of questions can seem impossible, and you have no idea where to start. Though looking at questions, this method can help you either simplify the question or solve it altogether.
If you take the same example of eighty-one to the power of one over ten, and you want the base to be smaller, you can find a number going into eighty-one that has an exponent. In this example, three with the power of four can go into eighty-one.
Afterward, you take the three to the power of four and replace the eighty-one in the equation while putting it in brackets. You must leave the original one over ten fractional exponents out of the brackets because the three to the power of four is replacing the entire eighty-one. The exponent is attached to the entirety of the three to the power of four.

After, it will look like this:

For this example, you would want to use this tactic if there was another base of three in the same equation.