Question

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.

Answer 1

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 same
• We add the index.

Quotient property

• Same here, if the bases are the same, they stay the way they were
• We 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 /9²
• Note, when it turns to a fraction th index becomes positive