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Simplify 81^{-3/4}×25^{1/2}×243^{2/5 }

A: 2/5

B: 3/5

C: 5/2

D: 5/3

**Comments**

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81^{-3/4 }× 25^{1/2 }× 243^{2/5} ------------ eqn(1)

81^{-3/4} = 1 / 81^{3/4} = 1 / ^{4}√81^{3} = 1 / 3^{3} = 1/27

25^{1/2} = √25 = 5

243^{2/5 }= ^{5}√243^{2} = 3^{2} = 9

eqn(1) becomes:

1/27 x 5 x 9

= 45/27

= 5/3

**Answer: D**

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