Question

o valor da expressão (3⁶.4⁶.12-⁸ me ajudem é pra amanhã ​

Answer 1

Resposta:

$=2^{28}\cdot \:3^{14}$

Explicação passo-a-passo:

$3^6\cdot \:4^6\cdot \:12^8\\=3^6\left(2^2\right)^6\cdot \:12^8\\=3^6\cdot \:2^{2\cdot \:6}\cdot \:12^8\\=3^6\cdot \:2^{12}\cdot \:12^8\\=3^6\cdot \:2^{12}\left(2^2\cdot \:3\right)^8\\=3^6\cdot \:2^{12}\left(2^2\right)^8\cdot \:3^8\\=3^6\cdot \:2^{12}\cdot \:2^{2\cdot \:8}\cdot \:3^8\\=3^6\cdot \:2^{12}\cdot \:2^{16}\cdot \:3^8\\=3^6\cdot \:2^{12+16}\cdot \:3^8\\=3^6\cdot \:2^{28}\cdot \:3^8\\=2^{28}\cdot \:3^{6+8}\\=2^{28}\cdot \:3^{14}\\=268435456\cdot \:4782969$