Question

arrange them in ascending order(please solve the question step by step)

Answer 1

Hey there,

Given terms =7^⅓, 11^¼,50^1/6
Take L .C. M of the given exponents denominator

So ,L.C.M of 3,4,6=12

7^⅓=7^4/12

11^¼= 11^3/12
50^1/6 =50^2/12

Now the terms are (7^4 )^1/12 , (11³)^1/12,( 50²)^1/12

Compare the bases 7^4, 11³,50²

7^4=2401

11³=1331

50²=2500

There fore , 2500>2401>1331

So , 11^1/4 < 7^1/3 < 50^1/6 is the ascending order

hope helped !