Evaluate :
(125)13(125)^{\dfrac{1}{3}}(125)31
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Given,
Simplifying the expression :
⇒(125)13⇒[(5)3]13⇒53×13⇒5.\Rightarrow (125)^{\dfrac{1}{3}} \\[1em] \Rightarrow [(5)^3]^{\dfrac{1}{3}} \\[1em] \Rightarrow 5^{3 \times \dfrac{1}{3}} \\[1em] \Rightarrow 5.⇒(125)31⇒[(5)3]31⇒53×31⇒5.
Hence, (125)13(125)^{\dfrac{1}{3}}(125)31 = 5.
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