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