MCQ
$(2^{3^{4}})=$
  • A
    $2^{4^{3}}$
  • B
    $2^{3^{4}}$
  • $\big(2^4\big)^3$
  • D
    None of these.

Answer

Correct option: C.
$\big(2^4\big)^3$

$\big(2^3\big)^4$
$=2^{3\times4}$ $[\text{As}, (\text{x}^{\text{m}})^{\text{n}}=\text{x}^{\text{mn}}]$
$=2^{4\times3}$
$=(2^{4})^{3}$
Hence, the correct alternative is option $(c)$.

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