Evaluate :
(−27)23(-27)^{\dfrac{2}{3}}(−27)32
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Given,
Simplifying the expression :
⇒(−27)23⇒[(−3)3]23⇒(−3)3×23⇒(−3)2⇒9.\Rightarrow (-27)^{\dfrac{2}{3}} \\[1em] \Rightarrow [(-3)^3]^{\dfrac{2}{3}} \\[1em] \Rightarrow (-3)^{3 \times \dfrac{2}{3}} \\[1em] \Rightarrow (-3)^2 \\[1em] \Rightarrow 9.⇒(−27)32⇒[(−3)3]32⇒(−3)3×32⇒(−3)2⇒9.
Hence, (−27)23=9(-27)^{\dfrac{2}{3}} = 9(−27)32=9.
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