Question

simplify. The following
(2197)1/13​

Answer 1

$Given \: (2197)^{\frac{1}{13}}$

$= ( 13\times 13 \times 13)^{\frac{1}{13}}$

$= (13^{3})^{\frac{1}{13}}$

$= (13)^{3 \times \frac{1}{13}}$

/* By Exponential Law */

$\boxed{ \pink{ (a^{m})^{n} = a^{ m \times n }}}$

$= 13^{\frac{3}{13}}$

Therefore.,

$\red{(2197)^{\frac{1}{13}} }\green { = 13^{\frac{3}{13}}}$

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