Answer: Hello!
The equation described is:
\(\frac{3^{-4} *2^{3}*3^{2} }{2^{4}*3^{-3} }\)
You can use the next relations to simplify it a bit:
\(x^{-a} = \frac{1}{x^{a} }\)
\(x^{a} *x^{b} = x^{a + b}\)
Then our equation results in:
\(\frac{3^{-4} *2^{3}*3^{2} }{2^{4}*3^{-3} } = 3^{-4} *2^{3}*3^{2} *2^{-4}*3^{3} = 3^{-4 +2 + 3}*2^{3 - 4} = 3^{1} *2^{-1} = \frac{3}{2}\)
Then the correct answer is the first option.
