Chapter 7 - Exponents and Exponential Functions - 7-4 More Multiplication Properties of Exponents - Practice and Problem-Solving Exercises - Page 437: 48

$(m^{-4})^{3}=m^{-12}$

$(m^{?})^{3}=m^{-12}$ To raise a power to a power, we multiply the exponents. Therefore, in order for this equation to be correct, the product of $3$ and the first exponent must equal $-12$. The only way this would work is if the first exponent is $-4$ because $-4\times3=-12$. Therefore, the correct equation is $(m^{-4})^{3}=m^{-12}$