Powers of Products and Quotients     Exponent Rules Help     Fun Game Tips:

- The power of a product such as (a3b2)4 simplifies to   a12b8 .
Exponent rules cannot reduce   a12b8   since the base 'a' is different from the base 'b'.

- The power of a quotient such as (a3/ b2)4 simplifies to   a12/ b8   which is equivalent to   a12b-8.

- In general, a power of a product (ambn)u simplifies to   amubnu .
- In general, a power of a quotient (am/ bn)u simplifies to   amu/ bnu   which is equivalent to   amub-nu.

- Here are three examples of using exponent rules to simplify powers:
(ky5)2 = k2y10
(r-5w4)3/ w2 = r-15w10
(32)/(2-1)3 = 32/ 2-3 which equals (32)(23) = (9)(8) = 72.

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