Question

Simplify the expression so there is only one positive power for each base. (5^-2 x 4^-4)^-2

Answer 1

Can confirm the answer is A

Answer 2

$(a\cdot b)^n=a^n\cdot b^n\\(a^n)^m=a^{n\cdot m}\\\\(5^{-2}\cdot4^{-4})^{-2}=(5^{-2})^{-2}\cdot(4^{-4})^{-2}=5^{-2\cdot(-2)}\cdot4^{-4\cdot(-2)}\\\\=\boxed{5^4\cdot4^8}\to\fbox{A.}$