Question

(5^12.25^-3.625^-2)^-2

Answer 1

$(5^{12}.25^{-3}.625^{-2})^{-2}=\\ \\ (5^{12}.5^{-6}.5^{-8})^{-2}= 5^{4}=625$

Answer 2

$(5^{12}.25^{-3}.625^{-2})^{-2} \\ (5^{12}.5^{2.(-3)}.5^{4.(-2)})^{-2} \\ (5^{12}.5^{-6}.5^{-8})^{-2} \\ (5^{-2})^{-2} \\ 5^{4}=625 \\ \\ (5^{-2})^{-3}=5^{6}=15625$