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Mathematics

Evaluate :

(8)23(8)^{\dfrac{2}{3}}

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Answer

Given,

(8)23(8)^{\dfrac{2}{3}}

Simplifying the expression :

(8)23(23)2323×23224.\Rightarrow (8)^{\dfrac{2}{3}} \\[1em] \Rightarrow (2^3)^{\dfrac{2}{3}} \\[1em] \Rightarrow 2^{3 \times \dfrac{2}{3}} \\[1em] \Rightarrow 2^2 \\[1em] \Rightarrow 4.

Hence, (8)23=4(8)^{\dfrac{2}{3}} = 4.

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