Which exponent rule(s) would be used to simplify this expression? 2x^(5)*12x^(-4)

To simplify the expression 2x^(5) * 12x^(-4), we can use the exponent rule of product of powers:

(a^m) * (a^n) = a^(m+n)

In this case, we have x^(5) * x^(-4), so using the exponent rule:

x^(5) * x^(-4) = x^(5 + (-4))

This simplifies to:

x^(5 + (-4)) = x^(1) = x

Therefore, the simplified expression is 2x.