Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
Đặt : A = 1 + 22 + 23 + 24 + .... + 29
=> 2A = 22 + 23 + 24 + .... + 210
=> 2A - A = 210 - 1
=> A = 210 - 1
Đặt B = 5 x 28 = (22 + 1) x 28 = 210 + 28 > 210 - 1
Vậy A < B .
a) \(\left(-5+9\right).\left(-4\right)\)
\(=4.\left(-4\right)\)
\(=-16\)
b) \(72\div\left(-6.2+4\right)\)
\(=72\div\left(-12+4\right)\)
\(=72\div\left(-8\right)\)
\(=-9\)
c) \(-3.7-4.\left(-5\right)+1\)
\(=-21-\left(-20\right)+1\)
\(=-1+1\)
\(=0\)
a. Ta có:
\(72^{45}-72^{44}=72^{44}.\left(72-1\right)=72^{44}.71\)
\(72^{44}-72^{43}=72^{43}.\left(72-1\right)=72^{43}.71\)
Vì \(72^{44}.71>72^{43}.71\)
\(\Rightarrow72^{45}-72^{44}>72^{44}-72^{43}\)
\(A = 1 + 2 + 2^2 + 2^3+ ... + 2^{63}\)
\(2A=2+2^2+2^3+...+2^{63}+2^{64}\)
\(2A-A=2+2^2+2^3+...+2^{63}+2^{64}-\left(1+2+2^2+2^3+...+2^{63}\right)\)
\(\Rightarrow A=2^{64}-1\)
a) 35
b) -53
c) 40 – - 7 2 = 40 – 49 = -9
d)| -15 + 21| - | 4 – 11 | = | 6 | - | -7 | = 6 – 7 = -1
A = 1/3 - 3/4 + 3/5 + 1/72 -2/9 -1/36 +1 /15
A = (1/3 + 3/5 +1/15 ) - ( 3/4 + 2/9 +1/36 ) +1/72
A = 1 - 1 +1/ 72 = 1/72
Dúng nha **** đi
a) \(\frac{72^3.54^2}{108^4}\)
\(=\frac{\left(2^3.3^2\right)^3.\left(2.3^2\right)^2}{\left(2^2.3^2\right)^4}\)
\(=\frac{2^9.3^6.2^2.6^6}{2^8.3^{12}}=2^3\)
\(=8\)
b) \(\frac{3^{10}.11+3^{10}.5}{3^9.2^4}\)
\(=\frac{3^{10}.\left(11+5\right)}{3^9.2^4}\)
\(=\frac{3^{10}.2^4}{3^9.2^4}\)
\(=3\)
\(\dfrac{-4}{9}-\dfrac{5}{72}=\dfrac{-4\cdot8-5}{72}=\dfrac{-37}{72}\)