Rút gọn :
----- Nội dung ảnh -----
BVTN:
1) Rút gọn
a) \(10^3 \cdot 5 \cdot 10^5 +\)
\[
13
\]
\[
3, 2^{12} \cdot 5^5 \cdot 4 \cdot 9^2
\]
\((2^2, 3)^6 + 8^9 \cdot 35^5\)
b) \(5 \cdot 2^{13} + 2^{2} + 2^{6}\)
\[
3 \cdot 2^{34}
\]
s,
\[
S = 7 + 3^3 + 35 + 3^7 + \ldots + 3^{105}
\]
2) CMR:
a) \(A = -4 + 4^4 + 4^5 + \ldots + 4^{23} + 4^{24}; 20\)
b) \(a^{200} - 1; 22\)
3) Tìm số điều
\[
A = 2 + 2^2 + 2^3 + \ldots + 2^{99} + 2^{100} \text{ chia A cho 7.}
\]
BVTN:
1) Rút gọn
a) \(10^3 \cdot 5 \cdot 10^5 +\)
\[
13
\]
\[
3, 2^{12} \cdot 5^5 \cdot 4 \cdot 9^2
\]
\((2^2, 3)^6 + 8^9 \cdot 35^5\)
b) \(5 \cdot 2^{13} + 2^{2} + 2^{6}\)
\[
3 \cdot 2^{34}
\]
s,
\[
S = 7 + 3^3 + 35 + 3^7 + \ldots + 3^{105}
\]
2) CMR:
a) \(A = -4 + 4^4 + 4^5 + \ldots + 4^{23} + 4^{24}; 20\)
b) \(a^{200} - 1; 22\)
3) Tìm số điều
\[
A = 2 + 2^2 + 2^3 + \ldots + 2^{99} + 2^{100} \text{ chia A cho 7.}
\]