What is the simplified expression for 3 to the power of negative 4 multiplied by 2 to the power of 3 multiplied by 3 to the power of 2 whole over 2 to the power of 4 multiplied by 3 to the power of negative 3?

3 over 2
3 to the power of 2 over 2 to the power of 2
3 to the power of 2 over 2
2 to the power of 4 over 3

Question

What is the simplified expression for 3 to the power of negative 4 multiplied by 2 to the power of 3 multiplied by 3 to the power of 2 whole over 2 to the power of 4 multiplied by 3 to the power of negative 3?

 3 over 2
 3 to the power of 2 over 2 to the power of 2
 3 to the power of 2 over 2
 2 to the power of 4 over 3

anonymous · Answer

PLEASE HELP ME!!!!

amoodarya · Answer

$$\frac{3^{-4}*2^{3}*3^2}{2^4*3^{-3}}$$
is it  ?

anonymous · Answer

yes! i tried so hard do you know the answer

amoodarya · Answer

$$\frac{3^{-4}*3^2*2^{3}}{2^4*3^{-3}}=\\frac{3^{-4}*3^2*3^{+3}}{2^4*2^{-3}}=\\frac{3^{-4+3+3}}{2^{4-3}}$$

amoodarya · Answer

$$a^{m}=\frac{1}{a^{-m}}$$

anonymous · Answer

ok

anonymous · Answer

so what do you think the answer is

amoodarya · Answer

$$\frac{ 3 }{ 2 }$$

anonymous · Answer

THANK YOU!!

amoodarya · Answer

your welcome 
but ,do you understand it  ?