Simplify 81^□((-3)/4)x 25^□(1/2) x 243^□(2/5)

Simplify 81^□((-3)/4)x 25^□(1/2) x 243^□(2/5)
A. 2/5
B. 3/5
C. 5/2
D. 5/3

Correct Option: Answer is D

Solution:

〖81〗^□((-3)/4)x 〖25〗^□(1/2) x 〖243〗^□(2/5)

= (〖√(4&81)〗^(-3)) x √25 x (〖√(5&243))〗^2
= (5 x 3²)/3^(-3) = (5 )/3^ = 5/3

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