\(\frac{3^6.45^4-15^3.5^{-9}}{27^4.25^3+45^6}\)
\(\frac{3^6.45^4-15^3.5^{-9}}{27^4.25^3+45^6}\)
\(\frac{3^6.45^4-15^3.5^9}{27^4.25^3+45^6}\)
\(=\dfrac{3^6\cdot3^8\cdot5^4-3^3\cdot5^3\cdot5^9}{3^{12}\cdot5^6+3^{12}\cdot5^6}=\dfrac{5^4\cdot3^3\cdot\left(3^{11}-5^8\right)}{3^{12}\cdot5^6\cdot2}=\dfrac{-106739}{3^9\cdot5^2}\)
Tinh :\(\frac{^{3^6.45^4-15^3.5^{-9}}}{27^4.25^3+45^6}\)
Tính nhanh: \(\frac{3^6.45^4-15^3.5^9}{27^4.25^3+45^6}=?\)
\(\frac{3^6.45^4-15^3.5^{-9}}{27^4.25^3+45^6}\)
Ghi rõ đề bài. Cần ghi phân số thì bấn vào fx trên thanh công cụ.
Thực hiện phép tính: \(\frac{3^6.45^4-15^3.5^{-9}}{27^4.25^3+45^6}\)
\(\dfrac{3^6.45^4-15^3.5^{-9}}{27^4.25^3+45^6}\)
\(=\dfrac{3^6.\left(3^2.5\right)^4-\left(5.3\right)^3.5^{-9}}{\left(3^3\right)^4.\left(5^2\right)^3+\left(3^2.5\right)^6}\\ =\dfrac{3^6.3^8.5^4-3^3.5^3.5^{-9}}{3^{12}.5^6+3^{12}.5^6}\\ =\dfrac{3^{14}.5^4-3^3.5^{-6}}{3^{12}.5^6+3^{12}.5^6}\\ =\dfrac{3^3.5^{-6}\left(3^{11}.5^{10}-1\right)}{3^{12}.5^6\left(1+1\right)}\)Hiện mình chỉ làm được đến đây! Để mình suy nghĩ rồi giải tiếp nhé! Chúc bạn học giỏi!!!
Tính: \(A=\frac{3^6.45^5-15^3.5^9}{27^4.25^3+45^6}\)
Các anh, chị cứu em :<
\(\frac{3^6\cdot45^5-15^3\cdot5^9}{27\cdot25^3+45^6}\)
\(=\frac{3^6\cdot3^{10}\cdot5^5-3^3\cdot5^3\cdot5^9}{3^{12}\cdot5^6+5^6\cdot3^{12}}\)
\(=\frac{3^{16}\cdot5^5-3^3\cdot5^{12}}{2\cdot3^{12}\cdot5^6}=\frac{3^3\cdot5^5\left(3^{13}-5^7\right)}{2\cdot3^{12}\cdot5^6}=\frac{3^{13}-5^7}{2\cdot3^9\cdot5}\)
\(=\frac{3^{13}}{2\cdot3^9\cdot5}-\frac{5^7}{2\cdot3^9\cdot5}=\frac{81}{10}-\frac{5^6}{2\cdot3^9}\)
haiz!đến đây tịt!có sai đề ko bạn?
\(A=\frac{3^6.45^5-15^3.5^9}{27^4.25^3+45^6}\)
\(A=\frac{3^6.\left(3^2.5\right)^5-\left(3.5\right)^3.5^9}{\left(3^3\right)^4.\left(5^2\right)^3+\left(3^2.5\right)^6}\)
\(A=\frac{3^6.3^{10}.5^5-3^3.5^3.5^9}{3^{12}.5^6+3^{12}.5^6}\)
\(A=\frac{3^{16}.5^5-3^3.5^{12}}{3^{12}.5^6+3^{12}.5^6}\)
\(A=\frac{3^3.5^5.\left(3^{13}-5^7\right)}{2.3^{12}.5^6}\)
\(A=\frac{3^{13}-5^7}{2.3^9.5}\)
Có gì đó sai sai
Sr sr :v Lộn nha :v \(A=\frac{3^6.45^4-15^3.5^9}{27^4.25^3+45^6}\) . Sao lần nào đăng cũng sai đề vậy nhỉ :>
Tính:\(\frac{3^6.45^4.-15^{13}.5^{-9}}{27^4.25^3+45^6}\)