Evaluate :
(32)−45(32)^{\dfrac{-4}{5}}(32)5−4
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Given,
Simplifying the expression :
⇒(32)−45⇒(25)−45⇒25×−45⇒(2)−4⇒(12)4⇒116.\Rightarrow (32)^{\dfrac{-4}{5}} \\[1em] \Rightarrow (2^5)^{\dfrac{-4}{5}} \\[1em] \Rightarrow 2^{5 \times -\dfrac{4}{5}} \\[1em] \Rightarrow (2)^{-4} \\[1em] \Rightarrow \Big(\dfrac{1}{2}\Big)^{4} \\[1em] \Rightarrow \dfrac{1}{16}.⇒(32)5−4⇒(25)5−4⇒25×−54⇒(2)−4⇒(21)4⇒161.
Hence, (32)−45=116(32)^{\dfrac{-4}{5}} = \dfrac{1}{16}(32)5−4=161.
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