Question

please solve question i​

Answer 1

Answer:

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