Question

Select the correct answer

Answer 1

9514 1404 393

Answer:

  A.  5⁴·4⁸

Step-by-step explanation:

The relevant rules of exponents are ...

  (ab)^c = (a^c)(b^c)

  (a^b)^c = a^(bc)

__

  $(5^{-2}\cdot 4^{-4})^{-2}=5^{(-2)(-2)}\cdot4^{(-4)(-2)}=\boxed{5^4\cdot4^8}$