`(2^10. 3^5 . 27^4 - 32^2 . 81^4)/(729^4 : (-9)^4 . 16^5 : (-8)^3)`
`= (2^10 . 3^5 . 3^12 - 2^10 . 3^16)/((-81)^4 . [16 : (-8)]^3 . 16^2)`
`= (2^10 . 3^17 - 2^10 . 3^16)/(3^16 . (-2)^3 . 2^8)`
`= ((-2^10) . 3^17 - (-2^10) . 3^16)/(3^16 . (-2^11))`
`=((-2^10) . 3^16 . (3 - 1))/(3^16 . (-2)^10 . (-2))`
`= 2/(-2)`
`= -1`
Thực hiện phép tính:
Câu 1:
\(\frac{\left(-5\right)^{32}\cdot20^{43}}{\left(-8\right)^{29}\cdot125^{25}}\)
Câu 2:
\(\frac{5^4\cdot18^4}{125\cdot9^5\cdot16}\)
Câu 3:
\(\frac{9^{18}\cdot2^{29}}{8^9\cdot27^{12}}\)
Rút gọn
Q=\(\frac{2^{12}\cdot3^5-4^6\cdot81}{\left(2^{2\cdot}\cdot3\right)^6+8^4\cdot3^5}\)
B = \(\frac{\left(-12\right)^5\times27^4-32^2\times81^4}{729^4\div\left(-9\right)^4\times16^5\div\left(-8\right)^3}\)
Thực hiện phép tính ( bằng cách hợp lí nếu có thể )
a) \(\frac{2}{5}+\frac{3}{5}:\left(-\frac{3}{5}\right)+\frac{1}{2}\)
b) \(10\frac{1}{4}\left(-\frac{3}{5}\right)-8\frac{1}{4}:\left(-\frac{3}{5}\right)\)
c) \(\frac{4^{30}\cdot3^{43}}{2^{57}\cdot27^{15}}\)
d) \(\left(1-\frac{2}{5}\right)^2+\left|-\frac{3}{5}\right|+\left(-\frac{7}{10}\right)-\frac{9}{25}\)
\(TínhA=\frac{2^{12}\cdot3^5-4^6\cdot9^2}{\left(2^2\cdot3\right)^6+8^4\cdot3^5}-\frac{5^{10}\cdot7^3-25^5\cdot49^2}{\left(125\cdot7\right)^3+5^9\cdot14^3}\)
\(B=\frac{2^{12}\cdot3^5-4^6\cdot9^2}{\left(2^2\cdot3\right)^6+8^4\cdot3^5}-\frac{56^{10}\cdot7^3-25^5\cdot49^2}{\left(125\cdot7\right)^3+5^9\cdot14^3}\)
Tính A:\(\frac{2^{12}\cdot3^5-4^6\cdot9^2}{\left(2^2\cdot3\right)^6+8^4\cdot3^5}-\frac{5^{10}\cdot7^3-25^5\cdot49^2}{\left(125\cdot7\right)^3+5^9\cdot14^3}\)
Tính nhanh
A)\(\frac{\left(-2\right)^{17}\cdot25^3\cdot27^4}{6^{11}\cdot10^5\cdot\left(-3\right)^2}\)
B)\(\frac{9^4\cdot49^3\cdot2^5}{21^5\cdot81\cdot6^3}\)
Mình cần gấp , xin các bạn giúp mình
tính:\(\frac{\left(-12\right)^5.27^4-32^2.81^4}{729^4:\left(-9\right)^4.16^5:\left(-8\right)^3}\)
a)\(\left(-\frac{5}{2}\right)^2:\left(-15\right)-\left(-0,45+\frac{3}{4}\right)\cdot\left(-1\frac{5}{9}\right)\)
b)\(\left(\frac{-1}{3}\right)-\left(\frac{-3}{5}\right)^0+\left(1-\frac{1}{2}\right)^2:2\)
c)\(E=\frac{4^5\cdot9^4-2\cdot6^9}{2^{10}\cdot3^8+6^8\cdot20}\)
d)\(\frac{5^4\cdot20^4}{25^5\cdot4^5}\)
