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\(\frac{3^6.45^4-15^{13}:5^9}{27^4.25^3+45^6}\)=\(\frac{3^{14}.5^4-3^{13}.5^4}{3^{12}.5^6+3^{12}.5^6}=\frac{3^{13}.5^4\left(3-1\right)}{3^{12}.5^6\left(1+1\right)}\)=\(\frac{3}{25}\)
\(\frac{3^6\cdot45^5-15^3\cdot5^9}{27\cdot25^3+45^6}\)
\(=\frac{3^6\cdot3^{10}\cdot5^5-3^3\cdot5^3\cdot5^9}{3^{12}\cdot5^6+5^6\cdot3^{12}}\)
\(=\frac{3^{16}\cdot5^5-3^3\cdot5^{12}}{2\cdot3^{12}\cdot5^6}=\frac{3^3\cdot5^5\left(3^{13}-5^7\right)}{2\cdot3^{12}\cdot5^6}=\frac{3^{13}-5^7}{2\cdot3^9\cdot5}\)
\(=\frac{3^{13}}{2\cdot3^9\cdot5}-\frac{5^7}{2\cdot3^9\cdot5}=\frac{81}{10}-\frac{5^6}{2\cdot3^9}\)
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
a) Tử số = 3^6.45^4−15^13.5^−9=3^6.(5.3^2)^4−(3.5)^13.5^−9=3^6.5^4.3^8−3^13.5^13.5^−9=3^14.5^4−3^13.5^4=3^13.5^4(3−1)=2.3^13.5^4
Mẫu số = 27^4.25^3+45^6=3^12.5^6+3^12.5^6=2.3^12.5^6
Phân số = 2.3^13.5^4/2.3^12.5^6=3/25
\(=\frac{3^6.3^8.5^4-3^{13}.5^{13}.\frac{1}{5^9}}{3^{12}.5^6+3^{12}.5^6}\)
\(=\frac{3^{13}.5^4\left(3-1\right)}{3^{12}.5^6.2}\)
\(=\frac{3}{5^2}=\frac{3}{25}\)
\(=\dfrac{3^6\cdot3^8\cdot5^4-3^{13}\cdot5^{13}:5^9}{3^{12}\cdot5^6+3^{12}\cdot5^6}\)
\(=\dfrac{3^{14}\cdot5^4-3^{13}\cdot5^4}{3^{12}\cdot5^6\cdot2}=\dfrac{3^{13}\cdot5^4\cdot\left(3-1\right)}{3^{12}\cdot5^6\cdot2}=\dfrac{3}{25}\)
