125:43/29
5^32 × 20^43 / 8^29 × 125^25
5^32 × 20^43 / 8^29 × 125^25
(-5)32. 2043/ (-8)29.12525
(-5)32. 2043/ (-8)29.12525
=\(\frac{5^{32}.5^{43}.4^{43}}{2^{87}.5^{75}}\)
=\(\frac{5^{75}.2^{86}}{2^{87}.5^{75}}\)
=\(\frac{1}{2}\)
Nhớ k nha
(-5)32.2043/(-8)29.12525 = ?
Tính
(-5)32.2043/(-8)29.12525
(-5)32nhan 2043phan (-8)29nhan 12525
(-5)32*2043
(-8)29*12525
Rút gọn: \(A=\frac{49^{24}.125^{10}.2^8-5^{30}.7^{49}.4^5}{5^{29}.16^2.7^{43}}\)
\(A=\frac{49^{24}.125^{10}.2^8-5^{30}.7^{49}.4^5}{5^{29}.16^2.7^{43}}\)
\(A=\frac{7^{48}.5^{30}.2^8-5^{30}.7^{49}.2^{10}}{5^{29}.2^8.7^{43}}\)
\(A=\frac{5^{30}.7^{48}.2^8.\left(1-7.2^2\right)}{5^{29}.2^8.7^{43}}=5.7^3.\left(1-7.2^2\right)=1715.\left(-27\right)=-46305\)
\(A=\frac{\left(7^2\right)^{24}.\left(5^3\right)^{10}.2^8-5^{30}.7^{49}.\left(2^2\right)^5}{5^{29}\left(2^4\right)^2.7^{43}}=\frac{7^{48}.5^{30}.2^8-5^{30}.7^{49}.2^{10}}{5^{29}.2^8.7^{43}}=\frac{7^{48}.5^{30}.2^8\left(1-7.2^2\right)}{5^{29}.2^8.7^{43}}\)
=\(7^5.5.\left(-27\right)=-2268945\)