Question

$[{(5/6)^5\times(4/3)^{-4}}]\div[{(5/6)^6\times(3/4)^4}]=?$

• A. 5/6
• B. 6/5
• C. 3/4
• D. 4/3

Answer 1

Answer:

B. 6/5

$[{(5/6)^5 \times (4/3)^{-4}}]\div[{(5/6)^6 \times(3/4)^4}]$

$= (5/6)^5 \times (4/3)^{-4}\times {(5/6)^{-6}\times (3/4)^{-4} }$

$=(5/6)^{5+(-6)}\times(4/3)^{-4}\times(3/4)^{-4}$

$=(5/6)^{-1}$

$=6/5$