How can you write general rules involving properties of exponents?

1. - b^m b^n = b^ (n+m)

In the product with equal bases the exponents are added.

2. - (b ^ m) ^ n = b ^ (n m)

A base with double exponent; the exponents multiply.

3. - (ab) ^ n = a ^ n * b ^ n

A product raised to an exponent; each factor is raised to that exponent.

4. - (b ^ n) / (b ^ m) = b ^ (n-m)

In the quotient with equal bases the exponents are subtracted

5. - (a / b) ^ n = (a ^ n) / (b ^ n)

A ratio raised to an exponent; each term is raised to that exponent.

6. - (a / b) ^ - n = (b / a) ^ n

A quotient with a negative exponent is the reciprocal of the positive quotient