\(\dfrac{3^6.45^4-15^3.5^{-9}}{27^4.25^3+45^6}\)
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\(\frac{3^6.45^4-15^3.5^{-9}}{27^4.25^3+45^6}\)
\(\frac{3^6.45^4-15^3.5^9}{27^4.25^3+45^6}\)
\(=\dfrac{3^6\cdot3^8\cdot5^4-3^3\cdot5^3\cdot5^9}{3^{12}\cdot5^6+3^{12}\cdot5^6}=\dfrac{5^4\cdot3^3\cdot\left(3^{11}-5^8\right)}{3^{12}\cdot5^6\cdot2}=\dfrac{-106739}{3^9\cdot5^2}\)
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\(\dfrac{3^6.45^4-15^{13}.5^{-9}}{27^4.25^3+45^6}\)
\(\dfrac{3^6.45^4-15^{13}.5^{-9}}{27^4.25^3+45^6}\)
\(\dfrac{3^6.45^4-15^{13}.5^{-9}}{27^4.25^3+45^6}=\dfrac{3^6.3^85^4-3^{13}.5^{13}.5^{-9}}{3^{12}.5^6+3^{12}.5^6}\)
\(=\dfrac{3^{14}.5^4-3^{13}.5^4}{2.3^{12}.5^6}=\dfrac{3^{13}.5^4\left(3-1\right)}{2.3^{12}.5^6}\)
\(=\dfrac{3.2}{2.5^2}=\dfrac{3}{25}\)
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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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Tính Q=\(\dfrac{3^6.45^4-15^3.5^{-9}}{27^4.25^3+45^6}.5^{-9}\)
Nhân không được thì trừ nhé.
Tinh :\(\frac{^{3^6.45^4-15^3.5^{-9}}}{27^4.25^3+45^6}\)
Tính nhanh: \(\frac{3^6.45^4-15^3.5^9}{27^4.25^3+45^6}=?\)
\(\dfrac{3^6.45^4-15^{13}.5^{-9}}{27^4.25^3+45^6}\)?
\(=\dfrac{3^6\cdot\left(3^2\right)^4\cdot5^4-5^{13}\cdot3^{13}\cdot5^{-9}}{3^{12}\cdot5^6+\left(3^2\right)^6\cdot5^6}\)
\(=\dfrac{3^{14}\cdot5^4-5^4\cdot3^{13}}{3^{12}\cdot5^6+3^{12}\cdot5^6}=\dfrac{3^{13}\cdot5^4\cdot2}{2\cdot3^{12}\cdot5^6}=\dfrac{3}{5^2}=\dfrac{3}{25}\)
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