How do you simplify (2\root[ 3] { 49} ) ( 5\root [ 3] { 7} )(2349)(537)?

1 Answer
Oct 15, 2017

70

Explanation:

Given, [2 root(3)49][5 root(3)7][2349][537]

rArr [2. (49)^(1/3)][5. 7^(1/3)][2.(49)13][5.713]

rArr 2. 5. (7^2)^(1/3). 7^(1/3)2.5.(72)13.713

rArr 10. 7^(2/3).7^(1/3)10.723.713 [ As (a^m)^n = a^(mn)](am)n=amn]

rArr 10. 7^(2/3+1/3)10.723+13 [ As a^m. a^n = a^(m+n)]am.an=am+n]

rArr 10. 7^[(2+1)/3]10.72+13

rArr 10. 7^(3/3)10.733

rArr 10. 7^110.71

rArr 10. 7 10.7 [ As a^1 = aa1=a]

rArr 7070