Question

помогите по алгебре упростите выражение

Answer 1

$\Big (\frac{a^{-9}}{3b^{-2}}\Big )^{-4}\cdot 4a^8\cdot b^4=\frac{a^{36}}{3^{-4}b^8}\cdot 4a^8\cdot b^4=\frac{4a^{44}\cdot b^4\cdot 3^4}{b^8}=\frac{324\, a^{44}}{b^4}$

Answer 2

$\frac{(a^{-9})^{-4}}{3^{-4}(b^{-2})^{-4}} *(4a^8b^4)$

$\frac{a^{36}}{3^{-4}(b{-2})^{-4}} *(4a^8b^4)$

$\frac{a^{36}}{\frac{1}{81} b^8} *(4a^8b^4)$

$\frac{a^{36}}{\frac{b^8}{81} } *(4a^8b^4)$

$a^{36}\frac{81}{b^8} *(4a^8b^4)$

$a^8a^{36}\frac{81}{b^8} *(4b^4)$

$a^{8+36}\frac{81}{b^8} *(4b^4)$

$a^{44}\frac{81}{b^8} *(4b^4)$

$\frac{a^{44}*81}{b^8} *(4b^4)$

$\frac{a^{44}*81}{b^4} *\frac{4}{1}$

$\frac{324*a^{44}}{b^4}$

$\frac{324a^{44}}{b^4}$