SOLUTION: help me simplify this expression: {{{(-a^2bc^3)^5}}}

We wish to remove the parentheses.

First of all use these rules:

#1. 
#2. 

to determine the sign of the simplified results.
The outer exponent is 5, and 5 is ODD so #2 applies 
here and the final answer will have a negative sign
before it.

Next give the b the exponent 1:



Now write a negative sign, in keeping with rule #2 above.
Then after that negative sign, to remove the parentheses, 
write each inner base with an exponent which is the inner 
exponent times the outer exponent 5:



or



Edwin