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