1.2- Exponents and Radicals

Yesterday we learned about the rules of exponents. These rules are as follows:

The quotient rule above is the example for when the larger exponent is in the numerator, but if the larger exponent is in the denominator you would put the base 'x' to the power of n-m all over one. That would look like this 

This next picture is an example of the work that lets you get from to , where .

       

We also learned how to change exponents into radicals and vice versa. But before I get into that I will go over the names of a radical's parts.

Now, I will go into making exponents into radicals, and radicals into exponents.

This shows where the exponent's numerator and denominator go when it's made into a radical.

This shows where the radical's index and the radicand's exponent go when it's made into an exponent.


The diagram below shows some examples of turning radicals into exponents:

Hope you like the post and sorry its so long.

Bye,

and Go Blue,

Alex Hackert