Problem 056

[robinsmidsrod]

Considering this text in the problem:

Considering natural numbers of the form, a^(b), where a, b < 100, what is the maximum digital sum?

I have a problem understanding the phrase:

a, b < 100

Does it mean that a AND b both need to be integers larger than 0 and less than 100?

Could "maximal digital sum" be rewritten as maximal sum of all the digits in the number?

I was looking at http://en.wikipedia.org/wiki/Integer and http://en.wikipedia.org/wiki/Natural_number.

A bit down in the Integer article (construction) I see (a, b) which refers to subtraction of a and b. Is this what you mean?

[hk]

a,b<100 means a<100 and b<100.
The digital sum of a number is the sum of its digits.
The maximum digital sum is to be interpreted as the largest sum of the digits of any number of the form a^b with a<100 and b<100

[robinsmidsrod]

Thank you for the clarification.