wrong solution (Question:620628.0)

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GAURAV KUMAR

· started a discussion

· 1 Months ago

wrong solution (Question:620628.0)

wrong solution

Question:

$a^{m^{n}}$ = $a^{{(m)}^{n}}$ then which of the following relation is true?

Options:

m = $n^{\frac{1}{n - 1}}$

n = $m^{\frac{1}{m - 1}}$

m = $n^{n - 1}$

n = $m^{m - 1}$

Solution:

Ans: (a)

$a^{m^{n}}$ = $a^{{(m)}^{n}}$ ⇒ $a^{m^{n}}$ = $a^{m n}$

⇒ $m^{n}$ = mn

⇒ $\frac{m^{n}}{m}$ = n

⇒ m^{n – 1} = n

⇒ m = $n^{\frac{1}{n - 1}}$

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wrong solution (Question:620628.0)

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