Please apply the properties of rational exponents to simplify expressions with radical or rational exponents. Explain the steps so that I understand because this is for my notes. Thank you for your time, the properties and problems to apply them to will be below.

Step-by-step explanation:

Product property

If the bases are the same, you don't multiple them. However, if they are the same, you do multiple for example : (2³ * 2¹ = 2⁴.when the bases are the same) (2³ * 3¹ =6⁴. When the bases are not the sameWe add the index.

Quotient property

Same here, if the bases are the same, they stay the way they wereWe subtract the index

Power property

Here we multiple the index because of the bracket for example : (9²)²= 9⁴

Negetive exponent property

When ever the index has a negative sign its convected to a fraction, for instance : 9¯² = 1 /9²Note, when it turns to a fraction th index becomes positive