The Strengthative Operator

a + b = c

a · b = c

where c is equal to a added to itself b number of times, like this

a + a + a ... = c

a ^ b = c

where c is equal to a multiplied to itself b number of times, like this

a · a · a ... = c

a strength b = c

where c is equal to a raised to the power of itself b number of times, like this

a ^ (a ^ (a ...) ) = c

Unfortunately, the character set does not include the symbol that I made up for the strengthative operation.  Here is a drawing of it.