Question

FIND THE VALUE OF (1^3+2^3+3^3)^3/2

Answer 1

(1³ + 2³ + 3³ )³/²

(1 + 8 + 27)³/²

36³/²

√36x36x6x6

= 36 x 6 = 216

Answer 2

Hey there! Thanks for the question

First we will simplify the terms inside the bracket.

$( {1}^{3} + {2}^{3} + {3}^{3} ) ^{ \frac{3}{2} } \\ \\ = (1 + 8 + 27) ^{ \frac{3}{2} } \\ \\ = {36}^{ \frac{3}{2} } \\ \\ = ( {6}^{2} ) ^{ \frac{3}{2} } \\ \\ = {6}^{3} \\ \\ = 216$

Formulae used : (a^m)^n = a^mn

Hope helped!