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\(a,\dfrac{3^{43}+3^4}{3^{39}+1}\)
\(=\dfrac{3^4\cdot\left(3^{39}+1\right)}{3^{39}+1}\)
\(=3^4\)
\(=81\)
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chi oi ,em la hoc sinh lop 4 o truong tieu hoc thi tran bac son.huyen bac son,tinh lang son.em khong biet cau hoi cua chi tra loi the nao nhung em biet chi biet ve 12 cung hoang dao dunh khong.con em la cung thien binh.em rat mong duoc ket ban voi chi
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1030=10.10.10.10.........10=300
còn 21000=2.2.2.2.2.2............2-2000
vậy biểu thức B lớn hơn
Ta có :
A = \(10^{30}=\left(10^3\right)^{10}=100^{10}\)
B = \(2^{100}=\left(2^{10}\right)^{10}=1024^{10}\)
=> A < B
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B=C*[13*37*(5*3-15)]=0
\(A=\dfrac{2^{10}\cdot78}{2^8\cdot26\cdot4}=\dfrac{78}{26}=3\)
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A = 137.454 + 206
A = 137.(453+1) + 206
A = 137.453 + 137 + 206
A = 137.453 + (137 + 206)
A = 137.453 + 343
B = 453.138 - 110
B = 453.(137+1) - 110
B = 453.137 + 453 - 110
B = 453.137 + (453 - 110)
B = 453.137 + 343
Vì 453.137 + 343 = 453.137 + 343
=> A = B
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a)
1 n . 1 n + 1 = 1 n ( n + 1 ) 1 n − 1 n + 1 = n + 1 − n n ( n + 1 ) = 1 n ( n + 1 ) ⇒ 1 n . 1 n + 1 = 1 n − 1 n + 1
b) Áp dụng kết quả trên để tính giá trị biểu thức sau:
M = 1 3.4 + 1 4.5 + 1 5.6 + 1 6.7 + 1 7.8 + 1 8.9 + 1 9.10 + 1 10.11 M = 1 3 − 1 4 + 1 4 − 1 5 + 1 5 − 1 6 + 1 6 − 1 7 + 1 7 − 1 8 + 1 8 − 1 9 + 1 9 − 1 10 + 1 10 − 1 11 M = 1 3 − 1 11 M = 8 33