Question

помогите по алгебре упростите выражение

Answer 1

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

Answer 2

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

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

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

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

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

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

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

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

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

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

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

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