\(\dfrac{5^{32}\cdot5^{43}\cdot2^{86}}{-2^{87}\cdot5^{75}}+\dfrac{5^{150}}{2}\)

\(=\dfrac{5^{150}-1}{2}\)

lớp t

S=2-5+8-11+14-17+20-23+26-29+32

S=[(2+32)-(5+29)+(8+26)-(11+17)]+14

S=[34-34+34-34]+14

S=14

Vậy S = 14

3)\(\dfrac{-41}{32}\left(\dfrac{15}{8}-\dfrac{16}{41}\right)+\dfrac{15}{8}\left(\dfrac{41}{32}-\dfrac{8}{3}\right)\)

=\(\dfrac{-41}{32}.\dfrac{15}{8}-\dfrac{-41}{32}.\dfrac{16}{41}+\dfrac{15}{8}.\dfrac{41}{32}-\dfrac{15}{8}.\dfrac{8}{3}\)

=\(\left(\dfrac{-41}{32}.\dfrac{15}{8}+\dfrac{15}{8}.\dfrac{41}{32}\right)+\dfrac{-16}{41}.\dfrac{-41}{32}-\dfrac{15}{8}.\dfrac{8}{3}\)

=\(0+\dfrac{1}{2}-5=\dfrac{-9}{2}\)

4)\(\dfrac{13}{29}\left(\dfrac{29}{5}-\dfrac{45}{8}\right)-\dfrac{45}{8}\left(\dfrac{9}{8}-\dfrac{13}{29}\right)\)

=\(\dfrac{13}{29}.\dfrac{29}{5}-\dfrac{45}{8}.\dfrac{13}{29}-\dfrac{45}{8}.\dfrac{9}{8}-\dfrac{45}{8}.\dfrac{13}{29}\)

=\(\left(\dfrac{45}{8}.\dfrac{13}{29}-\dfrac{45}{8}.\dfrac{13}{29}\right)-\dfrac{13}{29}.\dfrac{29}{5}-\dfrac{45}{8}.\dfrac{9}{8}\)

=\(0-\dfrac{13}{5}-\dfrac{405}{64}=\dfrac{-2857}{320}\)

có sai đề bài ko vậy

Kc:3

số số là:

(32-2):3+1=11(số)

Tổng là:

(32+2)x11:1=187

2 + 5 + 8 + 11 + ... + 29  + 32 .

Ta có :

 2 + 5 + 8 + 11 + ... + 29 + 32 ( có 11 số hạng )

= (32 + 2) x 11 : 2 = 187

KC:3

SSH;(32-2):3+1=11

T:(32+2).11:2=187

1 + 2-3-4+5+6-7-8+9+...+28-29-30+31 + 32

= 1 + (2-3-4+5) + (6-7-8+9) + ...+(28-29-30+31) + 32

= 1 + 0+0+...+0+32

= 1+32

=33

1+2-3-4+5+6-7-8+9+...+28-29-30+31+32?

 ( 1 + 2 - 3 - 4 ) + ( 5 + 6 - 7 - 8 ) + ...... + ( 29 + 30 - 31 - 32 )

=         0             +         0            + ....+           0

= 0

=\(\frac{5^{32}.5^{43}.4^{43}}{2^{87}.5^{75}}\)

=\(\frac{5^{75}.2^{86}}{2^{87}.5^{75}}\)

=\(\frac{1}{2}\)

Nhớ k nha