Câu hỏi của Shusindes

Question

Rút gọn: (6 ^ 6 + 2 ^ 7 * 3 ^ 6 + 2 ^ 6 * 3 ^ 7)/(4.2 ^ 3 * 3 ^ 2 * 2 ^ 2)

Phan Thị Dung · Accepted Answer

$\dfrac{6^6+2^7.3^6+2^6.3^7}{4.2^3.3^2.2^2}$

$=\dfrac{\left(2^2.3\right)^6+2^7.3^6+2^6.3^7}{2^2.2^3.3^2.2^2}$$=\dfrac{2^{12}.3^6+2^7.3^6+2^6.3^7}{2^7.3^2}$

$=\dfrac{2^6.3^6.\left(2^6+2+3\right)}{2^7.3^2}$$=\dfrac{3^4.69}{2}=\dfrac{5589}{2}$

Câu trả lời: $\dfrac{6^6+2^7.3^6+2^6.3^7}{4.2^3.3^2.2^2}$

$=\dfrac{\left(2^2.3\right)^6+2^7.3^6+2^6.3^7}{2^2.2^3.3^2.2^2}$$=\dfrac{2^{12}.3^6+2^7.3^6+2^6.3^7}{2^7.3^2}$

$=\dfrac{2^6.3^6.\left(2^6+2+3\right)}{2^7.3^2}$$=\dfrac{3^4.69}{2}=\dfrac{5589}{2}$