## anonymous one year ago 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

1. anonymous

2. amoodarya

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

3. anonymous

yes! i tried so hard do you know the answer

4. amoodarya

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

5. amoodarya

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

6. anonymous

ok

7. anonymous

so what do you think the answer is

8. amoodarya

$\frac{ 3 }{ 2 }$

9. anonymous

THANK YOU!!

10. amoodarya

your welcome but ,do you understand it ?