Evaluate :
(16)−34(16)^{\dfrac{-3}{4}}(16)4−3
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Given,
Simplifying the expression :
⇒(16)−34⇒(24)−34⇒24×−34⇒(2)−3⇒(12)3⇒18.\Rightarrow (16)^{\dfrac{-3}{4}} \\[1em] \Rightarrow (2^4)^{\dfrac{-3}{4}} \\[1em] \Rightarrow 2^{4 \times -\dfrac{3}{4}} \\[1em] \Rightarrow (2)^{-3} \\[1em] \Rightarrow \Big(\dfrac{1}{2}\Big)^{3} \\[1em] \Rightarrow \dfrac{1}{8}.⇒(16)4−3⇒(24)4−3⇒24×−43⇒(2)−3⇒(21)3⇒81.
Hence, (16)−34=18(16)^{\dfrac{-3}{4}} = \dfrac{1}{8}(16)4−3=81.
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