Question

Can somebody please give me a step by step explanation for the question

Answer 1

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$\large\mathcal\red{solution}$

$(1 {}^{3} + 2 {}^{3} + 3 {}^{3} ) {}^{ \frac{3}{2} } + 16 {}^{ \frac{3}{4} } \\ = > (1 + 8 + 27) {}^{ \frac{3}{2} } +( 2 {}^{4} ) {}^{ \frac{3}{4} } \\ = > (36) {}^{ \frac{3}{2} } + 2 {}^{3} \\ = >( 6 {}^{2} ) {}^{ \frac{3}{2} } + 8 \\ = > 6 {}^{3} + 2 {}^{3} \\ = > 2 {}^{3} \times 3 {}^{3} + 2 {}^{3} \\ = > 2 {}^{3} (1 + 3 {}^{3} ) \\ = > 8(1 + 27) \\ = > 8 \times 28 \\ = > 224$

$\underline{\large\mathcal\red{hope\: this \: helps \:you......}}$

Answer 2

ANSWER :-

(1^3 + 2^3 + 3^3)^3/2 + 16 ^3/4

=> (1 + 8 + 27)^3/2 + (4^2)^3/4

=> (36 )^3/2 + (4)^3/2

=> (6^2)^ 3/2 + (2^2) ^3/2

=> 6^3 + 2^3

=> 216 + 8

=> 224