Answer:
[tex]x^{-1}= \frac{1}{486}[/tex]
Step-by-step explanation:
Anything to the -1 is just the reciprocal of that thing. If it's -2, it's the reciprocal squared; -3 is reciprocal cubed, etc.
We can figure this out by solving for x, then finding the reciprocal:
[tex]x=(\frac{1}{4})^{-3} \times (\frac{2}{3})^{-5}\\x=(\frac{4}{1})^{3} \times (\frac{3}{2})^{5}\\x=64 \times (\frac{243}{32})\\x=2 \times 243\\x=486\\\\x^{-1}=486^{-1}\\x^{-1}= \frac{1}{486}[/tex]
