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## Homework Statement

Calculate 2 + 3^2 + 5^3 + 3^2*5^3 in Z15

(That last group of numbers means 3 to the 2*5 power then take this answer to the third power, It just did not paste like that)

## Homework Equations

## The Attempt at a Solution

2+9+5+3<--the 3 is a random guess, because I am totally lost what do to do with this last number.

I am doing this problem for independent study off of a web site and it says the answer is 9, which means the last answer must be 8. How do you deal with congruence when there are such large numbers with multiple exponents like those created by the last sequence of numbers in the problem (3^2*5^3, which means take 3 to the 2*5 power then take this answer to the third power)) ?