Question

\(\frac{2^{24}.3^9.6^2}{2^2.12^{11}.15-16^6.3^{12}}\)

Rút gọn phân số bằng cách nhanh nhất

Thks

Answer 1

gọi A = 2²⁴.3⁹.6²=2²⁴.3⁹.2².3²=2²⁶.3¹¹

      B = 2².12¹¹15 - 16⁶.3¹² = 2².2²².3¹¹.3.5 - 2⁴⁸.3¹² = 2⁴⁴.3¹².5 - 2⁴⁸.3¹² = (2⁴⁴.3¹²)(5 - 2⁴)

=>\(\frac{A}{B}\)= \(\frac{2^{26}.3^{11}}{\left(2^{44}.3^{12}\right)\left(5-2^4\right)}\)= \(\frac{1.\left(2^{26}.3^{11}\right)}{\left(2^{18}.3\right).\left(2^{26}.3^{11}\right).\left(-11\right)}\)= \(\frac{1}{\left(2^{18}.3\right).\left(-11\right)}\)

nhớ k cho mik nha