rút gọn A=
\(\frac{3^6.45^4-3^{10}.15^3}{27^4.25^3+45^6}\)
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2) rút gọn
\(A=\frac{3^6.45^4-15^{13}.5^{-9}}{27^4.25^3+45^6}\)
Rút gọn
B = \(\frac{3^6.45^4-15^{13}.5^{-9}}{27^4.25^3+45^6}\)
\(\frac{3^6\times45^4-15^{13}\times5^{-9}}{27^4\times25^3+45^6}\)
\(=\frac{3^6\times\left(3^2\times5\right)^4-\left(3\times5\right)^{13}\times5^{-9}}{\left(3^3\right)^4\times\left(5^2\right)^3+\left(3^2\times5\right)^6}\)
\(=\frac{3^6\times3^8\times5^4-3^{13}\times5^{13}\times5^{-9}}{3^{12}\times5^6+3^{12}\times5^6}\)
\(=\frac{3^{14}\times5^4-3^{13}\times5^4}{3^{12}\times5^6+3^{12}\times5^6}\)
\(=\frac{3^{13}\times5^4\times\left(3-1\right)}{2\times3^{12}\times5^6}\)
\(=\frac{3\times2}{2\times5^2}\)
\(=\frac{3}{25}\)
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Tính:\(\frac{3^6.45^4-3^{10}.15^3}{27^4.25^3+45^6}\)=................
\(\frac{3^6.45^4-15^3.5^{-9}}{27^4.25^3+45^6}\)
\(\frac{3^6.45^4-15^3.5^9}{27^4.25^3+45^6}\)
\(=\dfrac{3^6\cdot3^8\cdot5^4-3^3\cdot5^3\cdot5^9}{3^{12}\cdot5^6+3^{12}\cdot5^6}=\dfrac{5^4\cdot3^3\cdot\left(3^{11}-5^8\right)}{3^{12}\cdot5^6\cdot2}=\dfrac{-106739}{3^9\cdot5^2}\)
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rút gọn biểu thức \(P=\frac{3^6.54^4-3^{10}.15^3}{27^4.25^3+45^6}+\frac{4}{125}\)
Huyen lop truog hoc gioi toan nhat lop khog biet la sao thanh vien trog lop biet lam
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Tính:\(\frac{3^6.45^4.-15^{13}.5^{-9}}{27^4.25^3+45^6}\)
Tính :
\(B=\frac{3^6.45^4-15^3:5^9}{27^4.25^3+45^6}\)
\(\frac{3^6.\left(3^2.5\right)^4-\left(3.5\right)^3:5^9}{\left(3^3\right)^4.\left(5^2\right)^3+\left(5.3^2\right)^6}\) = \(\frac{3^{14}.5^4-3^3:5^6}{3^{12}.5^6+5^6.3^{12}}\) = \(\frac{3^{14}.5^{10}-3^3}{3^{12}.5^{12}+5^{12}.3^{ }^{12}^{ }}=\frac{3^{11}.5^{10}-1}{2.3^9.5^{12}}\)
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\(\frac{3^6.45^4-15^3.5^{-9}}{27^4.25^3+45^6}\)
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
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