Question

find the value of :-
(216)⅓ + 2(243)⅕ - 3(256)⅛​

Answer 1

Step-by-step explanation:

$\\ \tt{:}\longrightarrow (216) {}^{ \frac{1}{3} } + 2(243) {}^{ \frac{1}{5} } - 3(256) {}^{ \frac{1}{8} } \\ \\ \tt{:}\longrightarrow ( {6}^{3} ) {}^{ \frac{1}{3} } + 2( {3}^{5} ) {}^{ \frac{1}{5} } - 3( {2}^{8} ) {}^{ \frac{1}{8} } \\ \\ \tt{:}\longrightarrow 6 {}^{3 \times \frac{1}{3} } + 2(3 {}^{5 \times \frac{1}{5} } )- 3( {2}^{8 \times \frac{1}{8} } ) \\ \\ \tt{:}\longrightarrow {6}^{1} + 2(3 {}^{1} ) - 3(2 {}^{1} ) \\ \\ \tt{:}\longrightarrow 6 + 2(3) - 3(2) \\ \\ \tt{:}\longrightarrow 6 + 6 - 6 \\ \\ \tt{:}\longrightarrow 6 + 0 \\ \\ \tt{:}\longrightarrow 6$

Answer 2

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