I really need help please!

What is the simplified expression for [tex] \frac { 3^{-4}*2^{3}*3^{2} }{ 2^{4}*3^{-3} } [/tex]
(a) [tex]\frac{3}{2} [/tex]
(b) [tex] \frac{3^{2} }{2^{2}} [/tex]
(c) [tex] \frac{ 3^{2}}{2} [/tex]
(d) [tex] \frac{ 2^{4}}{3} [/tex]

Respuesta :

Simple...

you have: [tex] \frac{ 3^{-4}* 2^{3}* 3^{2} }{ 2^{4}* 3^{-3} } [/tex]

Multiply it out-->>

[tex] \frac{8}{9} [/tex]÷[tex] \frac{16}{27} [/tex]

=[tex] \frac{3}{2} [/tex] (A)

Thus, your answer.