Question

[(-8)^4 . (-6)^7]^4 =
agrrr por favor

Answer 1

Resposta:

2⁷⁶ . 3²⁸

Explicação passo-a-passo:

$\left(\left(-8\right)^4\left(-6\right)^7\right)^4\\=\left(\left(-8\right)^4\right)^4\left(\left(-6\right)^7\right)^4\\=8^{16}\left(\left(-6\right)^7\right)^4\\=8^{16}\cdot \:6^{28}\\=\left(2^3\right)^{16}\cdot \:6^{28}\\=2^{3\cdot \:16}\cdot \:6^{28}\\=2^{48}\cdot \:6^{28}\\=2^{48}\left(2\cdot \:3\right)^{28}\\=2^{48}\cdot \:2^{28}\cdot \:3^{28}\\=2^{48+28}\cdot \:3^{28}\\=2^{76}\cdot \:3^{28}\\=1728521566797968225286009588805533696$