Tính: \(A=\frac{3^6.45^5-15^3.5^9}{27^4.25^3+45^6}\)
Các anh, chị cứu em :<
\(\frac{3^6.45^4-15^3.5^{-9}}{27^4.25^3+45^6}\)
\(\frac{3^6.45^4-15^3.5^9}{27^4.25^3+45^6}\)
\(=\dfrac{3^6\cdot3^8\cdot5^4-3^3\cdot5^3\cdot5^9}{3^{12}\cdot5^6+3^{12}\cdot5^6}=\dfrac{5^4\cdot3^3\cdot\left(3^{11}-5^8\right)}{3^{12}\cdot5^6\cdot2}=\dfrac{-106739}{3^9\cdot5^2}\)
Tính nhanh: \(\frac{3^6.45^4-15^3.5^9}{27^4.25^3+45^6}=?\)
\(\frac{3^6.45^4-15^3.5^{-9}}{27^4.25^3+45^6}\)
ta có:tử=3^6.45^4-15^3.5^-9
=3^6.15^4.3^4-15^3.5^-9
=3^10.15^4-15^3.5^-9
=3^10.3^4.5^4-5^3.3^3.5^-9
=3^14.5^4-3^3.5^-6
=3^3.5^-6.(3^11.5^10-1)
lam tuong tu vs mau roi rut gon
Tinh :\(\frac{^{3^6.45^4-15^3.5^{-9}}}{27^4.25^3+45^6}\)
\(\frac{3^6.45^4-15^3.5^{-9}}{27^4.25^3+45^6}\)
Ghi rõ đề bài. Cần ghi phân số thì bấn vào fx trên thanh công cụ.
Thực hiện phép tính: \(\frac{3^6.45^4-15^3.5^{-9}}{27^4.25^3+45^6}\)
Tính:\(\frac{3^6.45^4.-15^{13}.5^{-9}}{27^4.25^3+45^6}\)
Tính :
\(B=\frac{3^6.45^4-15^3:5^9}{27^4.25^3+45^6}\)
\(\frac{3^6.\left(3^2.5\right)^4-\left(3.5\right)^3:5^9}{\left(3^3\right)^4.\left(5^2\right)^3+\left(5.3^2\right)^6}\) = \(\frac{3^{14}.5^4-3^3:5^6}{3^{12}.5^6+5^6.3^{12}}\) = \(\frac{3^{14}.5^{10}-3^3}{3^{12}.5^{12}+5^{12}.3^{ }^{12}^{ }}=\frac{3^{11}.5^{10}-1}{2.3^9.5^{12}}\)