Simplify $(5^7+3^6)(1^5-(-1)^4)^{10}$.
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. 