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B = 1 + 4 + 42 + 43 + ... + 4100
4B = 4. (1 + 4 + 42 + 43 + ... + 4100)
4B = 4 + 42 + 43 + ... + 4101
4B - B = (4 + 42 + 43 + ... + 4101) - (1 + 4 + 42 + 43 + ... + 4100)
3B = 4101 - 1
B = \(\frac{4^{101}-1}{3}\)
4B = 4+4^2+4^3+....+4^101
3B=4B-B=(4+4^2+4^3+....+4^101)-(1+4+4^2+....+4^100) = 4^101 - 1
=> B = (4^101-1)/3
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
a: \(\dfrac{4^5\cdot9^4-2\cdot6^9}{2^{10}\cdot3^8+6^8\cdot20}\)
\(=\dfrac{2^{10}\cdot3^8-2\cdot2^9\cdot3^9}{2^{10}\cdot3^8+2^8\cdot3^8\cdot2^2\cdot5}\)
\(=\dfrac{2^{10}\cdot3^8-2^{10}\cdot3^9}{2^{10}\cdot3^8+2^{10}\cdot3^8\cdot5}\)
\(=\dfrac{2^{10}\cdot3^8\left(1-3\right)}{2^{10}\cdot3^8\left(1+5\right)}=\dfrac{-2}{6}=-\dfrac{1}{3}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
1, 3^4
2, 5^405
3, -20/3
4, 4
KHÔNG BÍT ĐÚNG HAY KO =>HIHIHIHI
4B = 4+4^2+4^3+....+4^101
3B=4B-B=(4+4^2+4^3+....+4^101)-(1+4+4^2+....+4^100) = 4^101 - 1
=> B = (4^101-1)/3
k mk nha
B=1+4+42+43+...+4100
''nha"