Question

Which expression is equivalent to 4^4 x 4^-9

Answer 1

$4^4\times4^{-9}=4^{4+(-9)}=4^{-5}=\dfrac{1}{4^5}=\dfrac{1}{1024}\\\\Used:\\\\a^n\cdot a^m=a^{n+m}\\\\a^{-n}=\dfrac{1}{a^n}$