### Instruction: Simplify $(5^7+3^6)(1^5-(-1)^4)^{10}$.### Response: To simplify this expression, I need to apply the order of operations: parentheses, exponents, multiplication and division, and addition and subtraction.
I also want to look for any shortcuts or patterns that can make my calculations easier.
First, I notice that $(-1)^4=1$, since any even power of -1 is positive.
So the expression in the second pair of parentheses becomes $1^5-1=0$.
Now I have $(5^7+3^6)(0)^{10}$.
This is much easier to simplify, because any number multiplied by zero is zero.
So the final answer is 0.