As with numeric powers, `a xx a = a^2`, with the small 2 meaning that `a` has been multiplied by itself.

Multiplying `a^2` by `a` is the same as `a xx a xx a`, which is written as `a^3`.

Like terms are multiplied together. `a^2b^2 x ab^2` is the same as

`a xx a xx b xx b` x `a xx b xx b`

= `a xx a xx a xx b xx b xx b xx b`

= `a^3b^4`

Simplify `a xx a^2`

`a xx a^2 = a xx a xx a = a^3`

Answer: `a^3`

Multiply `ab^3` by `a^2b`

`ab^3` x `a^2b`

= `a xx b xx b xx b xx a xx a xx b`

= `a^3b^4`

Answer: `a^3b^4`

See also Integer Powers and Roots

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