​ solve it 4 (1)/(3) * (3 (1)/(3) * 3 (1)/(2) ) \ {}^(7) / 9 (3)/(4) solve​ it fast

Question

​ solve it


`4 (1)/(3) * (3 (1)/(3) * 3 (1)/(2) ) \ {}^(7) / 9 (3)/(4)`
solve​ it fast

Answer 1

`(257357187500)/(19683)`

Explanation:

We can convert these mixed fractions to ordinary fractions.

`4(1/3)=((4*3)+1)/(3)=(13)/(3)`

`3(1/3)=(10)/(3)`

`3(1/2)=(7)/(2)`

`9(3/4)=(39)/(4)`

Then we have:

`(13)/(3)*((10)/(3)*(7)/(2))^(7)*(4)/(39)`

`(257357187500)/(19683)`

I hope it helps you!