là 177,8 nha bạn

    \(\left(57+58+59+60+61+62+63+64+65+66+67+68+69+70\right):5\)

\(=\left[\left(70+57\right).14:2\right]:5\)

\(=\left[127.14:2\right]:5\)

\(=1778:2:5\)

\(=889:5\)

\(=\frac{889}{5}\)

177,8 nha pn

\(-6^3=-216\)

\(-6^2=-36\)

\(-6^4=-1296\)

\(-6^5=-7776\)

-6³=-216

-6²= -36

-6⁴= -1296

-6⁵ = -7776

mình làm vài câu cho bạn tham khảo,các câu còn lại thì bạn làm tương tự thôi

23.\(\sqrt{14-2\sqrt{33}}=\sqrt{\left(\sqrt{11}\right)^2-2.\sqrt{11}.\sqrt{3}+\left(\sqrt{3}\right)^2}\)

\(=\sqrt{\left(\sqrt{11}-\sqrt{3}\right)^2}=\left|\sqrt{11}-\sqrt{3}\right|=\sqrt{11}-\sqrt{3}\)

28. \(\sqrt{25-4\sqrt{6}}=\sqrt{\left(2\sqrt{6}\right)^2-2.2\sqrt{6}.1+1^2}=\sqrt{\left(2\sqrt{6}-1\right)^2}\)

\(=\left|2\sqrt{6}-1\right|=2\sqrt{6}-1\)

29.\(\sqrt{14-8\sqrt{3}}=\sqrt{14-2\sqrt{48}}=\sqrt{\left(\sqrt{8}\right)^2-2\sqrt{6}.\sqrt{8}+\left(\sqrt{6}\right)^2}\)

\(=\sqrt{\left(\sqrt{8}-\sqrt{6}\right)^2}=\left|\sqrt{8}-\sqrt{6}\right|=\sqrt{8}-\sqrt{6}\)

nhìn rối mắt quá bạn ơi

bạn hỏi nhiều câu thế , làm lâu lắm bạn

các bạn giúp mình nhé, người làm nhanh và đúng sẽ được mình k nhé

Ta có: A = 1/2+1/3+1/4+...+1/62+1/63+1/64

A = 1+(1/2+1/3+1/4)+(1/5+1/6+1/7+1/8)+(1/9+1/10+...+1/16)+...+(1/17+1/18+....+1/32)+(1/33+1/34+...+1/64)

Ta có: 1/2+1/3+1/4>1/2+1/4+1/4=1

1/5+1/6+1/7+1/8>1/8+1/8+1/8+1/8=1/8.4=1/2

1/9 +1/10+...+1/16>1/16+1/16+...1/16=1/16.8=1/2

1/33+1/34+...+1/64>1/64+1/64+...+1/64=1/64.32=1/2

Vậy A > 4

\(\dfrac{62.63+75}{12+62.64}=\dfrac{62.63+63+12}{12+62.64}=\dfrac{62.64+12}{12+62.64}=1\)

\(\dfrac{62\times63+75}{12+62\times64}=\dfrac{62\times\left(64-1\right)+63+12}{12+62\times64}=\dfrac{62\times64-62+63+12}{12+62\times64}=\dfrac{62\times64+1+12}{12+62\times64}=1\)

Đặt \(A=1+2+2^2+2^3+...+2^{64}\)

\(\Rightarrow2A=2+2^2+2^3+...+2^{65}\)

\(\Rightarrow2A-A=2+2^2+2^3+...+2^{65}-\left(1+2+2^2+...+2^{64}\right)\)

\(\Rightarrow A=2+2^2+2^3+...+2^{65}-1-2-2^2-...-2^{64}\)

\(\Rightarrow A=2^{65}-1\)

Bài 2 : Tính nhanh

 a ) ( 8 , 7 x 29 +  8, 7 x 35 ) : 64

= [ 8.7 x ( 29 + 35 ) ] : 64

= [ 8.7 x 64 ] : 64

= 8.7

b ) 372 x 9 + 372

= 372 x ( 9 + 1 )

= 372 x 10

= 3720

c ) 37 x 24 + 37 x 76 + 63  x 79 + 63 x 21

= 37 x ( 24 + 76 ) + 63 x ( 79 + 21 )

= 37 x 100 + 63 x 100

= 100 x ( 37 + 63 )

= 100 x 100

= 10000

d ) 42 x 53 + 47 x 156 - 47 x 114

= 42 x 53 + 47 x ( 156 - 114 )

= 42 x 53 + 47 x 42

= 42 x ( 53 + 47 )

= 42 x 100

= 4200

hok tốt nha 

a) (8,7 x 29 + 8,7 x 35) : 64

= [8,7 x (29 + 35)] : 64

= (8,7 x 64) : 64

= 8,7 x (64 : 64)

= 8,7 x 1 = 8,7

b) 372 x 9 + 372 = 372 x (9 + 1)

= 372 x 10 = 3720

c) 37 x 24 + 37 x 76 + 63 x 79 + 63 x 21

= 37 x (24 + 76) + 63 x (79 + 21)

= 37 x 100 + 63 x 100

= (37 + 63) x 100

= 100 x 100 = 10000

d) 42 x 53 + 47 x 156 - 47 x 114

= 42 x 53 + 47 x (156 - 114)

= 42 x 53 + 47 x 42

= 42  x (53 + 47)

= 42 x 100

= 4200

 a ) ( 8 , 7 x 29 +  8, 7 x 35 ) : 64

= [ 8,7 x ( 29 + 35 ) ] : 64

=  8,7 x 64 : 64

= 8,7

b ) 372 x 9 + 372

= 372 x ( 9 + 1 )

= 372 x 10

= 3720

c ) 37 x 24 + 37 x 76 + 63  x 79 + 63 x 21

= [ 37 x ( 24 + 76 ) ] + [ 63 x ( 79 + 21 ) ] 

= [ 37 . 100 ] + [ 63 x 100 ] 

= 3700 + 6300

= 10000

d ) 42 x 53 + 47 x 156 - 47 x 114
= 42 x 53 + 47 x ( 156 - 114 )
= 42 x 53 + 47 x 42 
= 42 x ( 53 +  47 )
= 42 x 100
= 4200