Question

реши уравнение: x^4 = 3^24

Answer 1

Решение и ответ:

$\displaystyle {x^4}={3^{24}}$

$\displaystyle {x^4}={\left({{3^6}}\right)^4}$

$\displaystyle x=\pm\sqrt [4]{{{{\left({{3^6}}\right)}^4}}}$

$\displaystyle x=\pm\left({{3^6}}\right)$

$\displaystyle x=\pm729$

$\displaystyle \boxed{{x_1}=729}$

$\displaystyle \boxed{{x_2}=-729}$