Rút gọn: \(A=\frac{49^{24}.125^{10}.2^8-5^{30}.7^{49}.4^5}{5^{29}.16^2.7^{43}}\)
rút gọn
A = \(\frac{49^{24}.125^{10}.2^8-5^{30}.7^{49}.4^5}{5^{29}.16^2-7^{48}}\)
gợi ý : đưa về cơ số nhở nhất
1)Cho số:
A=3+32+33+........+398+399+3100 .Chứng minh rằng:
a) A chia hết cho 120
b) A không chia hết cho 13
2)Rút gọn
a) A= \(\frac{4^2.25^2+32.125}{2^3.5^2.7}\)
b) B=\(\frac{49^{24}.125^{10}.2^8-5^{30}.7^{49}.4^5}{5^{29}.16^2.7^{48}}\)
3)Rút gọn tổng:
a) A=1+2+22+23+24+........+250
b) B=1+3+32+33+........+3100
A=\(\frac{7^{48}.5^{30}.2^8-5^{30}.7^{49}.2^{10}}{5^{29}.2^8.7^{48}}.\)
M=(1/4*9+1/9*14+1/14*19+...1/44*49)*1-3-5-7-9-...-49/89=-9/28
Rút gọn A=\(\frac{7^{48}\cdot5^{30}\cdot2^8-5^{30}\cdot7^{49}\cdot2^{10}}{5^{29}\cdot2^8\cdot7^{48}}\)
4924 x 12510 x 28 - 530 x 740 x 45
529 x 162 x 748
Cần gấp mn làm giúp
B={[5^10. 7^3 - 25^2 . 49^2] : [(125 . 7)^3+5^9 . 14^3]} - {[2^12-4^6 . 9^2] : [(2^2.3)^6+8^4 . 3^5]
2^13 . 3^5 - 4^6 . 9^2 / ( 2^2 . 3 )^6 + 8^4 . 3^5 - 5^10 . 7^3 - 25^5 . 49^2 / ( 125 . 7 )^3 + 5^9 . 14^3