Question 317418
{{{(-a^2bc^3)^5}}}
<pre><b>
We wish to remove the parentheses.

First of all use these rules:

#1. {{{NEGATIVE^(EVEN)=POSITIVE}}}
#2. {{{NEGATIVE^(ODD)=NEGATIVE}}}

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:

{{{(-a^2b^1c^3)^5}}}

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:

{{{-a^(2*5)b^(1*5)c^(3*5)}}}

or

{{{-a^10b^5c^15}}}

Edwin</pre>