Question

[Xuyện Khước]

4¹⁰ . 9⁶ + 3¹² . 8⁵
______________
6¹³ . 4 - 2¹⁶ . 3¹²

Answer 1

[Nguyễn Lê Phước Thịnh]

  

Answer 2

[『dnv』KhaㅤNguyenㅤ(n0five)]

`#3107.101107`

\(\dfrac{4^{10}\cdot9^6+3^{12}\cdot8^5}{6^{13}\cdot4-2^{16}\cdot3^{12}}\)

\(=\dfrac{2^{20}\cdot3^{12}+3^{12}\cdot2^{15}}{2^{13}\cdot3^{13}\cdot2^2-2^{16}\cdot3^{12}}\)

\(=\dfrac{3^{12}\cdot\left(2^{20}+2^{15}\right)}{3^{12}\cdot\left(2^{15}\cdot3-2^{16}\right)}\)

\(=\dfrac{2^{20}+2^{15}}{2^{15}\cdot3-2^{16}}\)

\(=\dfrac{2^{15}\cdot\left(2^5+1\right)}{2^{15}\cdot\left(3-2\right)}\)

\(=\dfrac{32+1}{1}\)

\(=33\)