\{{2^{1/2}\times3^{1/3}\times4^{1/4}}/{10^{-1/5}\times5^{3/5}} \/ {3^{4/3}\times5^{-7/5}}/{4^{-3/5}\times6}\} \times2

Symbiosis National Aptitude Test SNAP 2018 Paper

Question : 36 of 130

Marks: +1, -0

\{{2^{1/2}×3^{1/3}×4^{1/4}}/{10^{-1/5}×5^{3/5}} \/ {3^{4/3}×5^{-7/5}}/{4^{-3/5}×6}\} ×2

Solution:

\{{2^{1/2}×3^{1/3}×4^{1/4}}/{10^{-1/5}×5^{3/5}} \/ {3^{4/3}×5^{-7/5}}/{4^{-3/5}×6}\} ×2

[{2^{1/2}×3^{1/3}×2^{1/2}}/{2^{-1/5}×5^{-1/5}×5^{3/5}}×{2^{-6/5}×2^1×3^1}/{3^{4/3}×5^{-7/5}}]×2

[{2^{\{1/2+1/2+1/5+1-6/5\}}×3^{\{1/3+1-4/3\}}/5^{\{-4/5+3/5-7/5\}}]×2

[2/5^(-1)]×2

= 2 × 5 × 2
= 20

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