JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1

\left(a^{m}\right)^{n}=a^{m^{n}}

, then the value of '

\mathrm{m}^{\prime}

in terms of '

\mathrm{n}

' is

View answer and explanation

Correct option: C

n^{1 /(n-1)}

Option C (

n^{1 /(n-1)}

) is correct because solving the equation

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

for 'm' in terms of 'n' yields

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

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