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Mathematics

2÷(243)152 ÷ (243)^{-\dfrac{1}{5}} is equal to :

  1. 2 ÷ 3

  2. 16\dfrac{1}{6}

  3. 12

  4. 6

Indices

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Answer

Simplifying the expression :

2÷(243)15=2÷(35)15=2÷31=2÷13=2×3=6.\Rightarrow 2 ÷ (243)^{-\dfrac{1}{5}} = 2 ÷ (3^5)^{-\dfrac{1}{5}} \\[1em] = 2 ÷ 3^{-1} = 2 ÷ \dfrac{1}{3} \\[1em] = 2 \times 3 \\[1em] = 6.

Hence, Option 4 is the correct option.

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