please solve question i
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Step-by-step explanation:
[√3×5^(-3)] ÷ [∛3^(-1)√5] ×[ 3^(1/6)×5^(4/6)]
=3^(1/2)×5^(-3/2) ÷ 3^(-1/3)÷5^(1/6)×3^(1/6)×5^(4/6)
=3^[1/2-(-1/3)+1/6] × 5^[(-3/2)-(1/6)+4/6]
=3^[1/2+1/3+1/6]×5^[(-3/2)-1/6+4/6]
take L.C.M
=3^[(3+2+1)/6]×5^[(-9-1+4)/6]
=3^(6/6)×5[(-10+4)/6]
=3^1×5^(-6/6)
=3×5^(-1)
=3×1/5
=3/5
hence proved
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