a) (38 - 60) + (20 - 38)

= 38 - 60 + 20 - 38

= (38 - 38) + (-60 + 20)

= 0 - 40

= -40

b) 75 - (20 + 75)

= 75 - 20 - 75

= (75 - 75) - 20

= 0 - 20

= -20

c) 32 + (60 - 32)

= 32 + 60 - 32

= (32 - 32) + 60

= 0 + 60

= 60

d) (81 - 36) - (81 - 36)

= 81 - 36 - 81 + 36

= (81 - 81) + (-36 + 36)

= 0 + 0

= 0

e) (2 + 4 + 6 + 8) - (1 + 3 + 5 + 7)

= 2 + 4 + 6 + 8 - 1 - 3 - 5 - 7

= (2 - 1) + (4 - 3) + (6 - 5) + (8 - 7)

= 1 + 1 + 1 + 1

= 4

f) (1 + 3 + 5 + 7 + ... + 99) - (2 + 4 + 6 + 8 + ... + 100)

= 1 + 3 + 5 + 7 + ... + 99 - 2 - 4 - 6 - 8 - ... - 100

= (1 - 2) + (3 - 4) + (5 - 6) + (7 - 8) + ... + (99 - 100)

= -1 - 1 - 1 - 1 - ... - 1 (50 chữ số 1)

= -50

giúp mình với huhuhuhuhuhu

cảm ơn bạn nhiều !!!!!!!!!✿❤☺

a: \(3^7\cdot27^5\cdot81^3=3^7\cdot3^{15}\cdot3^{12}=3^{34}\)

b: \(36^5:18^5=\left(\dfrac{36}{18}\right)^5=2^5=32\)

c: \(24\cdot5^2+5^2\cdot5^3=24\cdot25+25\cdot125=25\cdot149=3725\)

d: \(\dfrac{125^4}{5^8}=\dfrac{5^{12}}{5^8}=5^4=625\)

a) \(3^7.27^5.81^3\)

\(=3^7.\left(3^3\right)^5.\left(3^4\right)^3\)

\(=3^7.3^{15}.3^{12}\)

\(=3^{34}\)

b) \(36^5:18^5\)

\(=\left(\dfrac{36}{18}\right)^5\)

\(=2^5\)

c) \(24.5^5+5^2.5^3\)

\(=24.5^5+5^5\)

\(=5^5.\left(24+1\right)\)

\(=5^5.25\)

\(=5^5.5^2=5^7\)

d) \(125^4:5^8\)

\(=\left(5^3\right)^4:5^8\)

\(=5^{12}:5^8\)

\(=5^4\)

a) 3⁷.27.81=3⁷.3¹⁵.3¹²=3^7+15+12=3³⁴

b)36:18

c)24.5+5.5

=5⁵.25

=5⁵.5²

=5⁷

d)125:5⁸=5¹²:5⁸=5⁴

B={x\(\in\)N|x=3^k; 1<=k<=4}

C={x\(\in\)N|x=4*a²; 1<=a<=5}

D={x\(\in\)N|x=9*a²;1<=a<=4}

E={x\(\in\)N|x=4k; 0<=x<=4}

G={x\(\in\)N|x=(-3)^k; 1<=k<=4}

a) \(A=\left\{x\in N|0\le x\le4\right\}\)

b) \(B=\left\{x\in N|x=4k;0\le k\le4;k\in N\right\}\)

c) \(C=\left\{x\in Z|x=\left(-3\right)^k;1\le k\le4;k\in N\right\}\)

d) \(D=\left\{x\in N|x=k^2;k=3a;1\le a\le4;a\in N\right\}\)

a: \(A=2^{\dfrac{1}{3}}\cdot2^{\dfrac{2}{3}}=2^{\dfrac{1}{3}+\dfrac{2}{3}}=2^{\dfrac{3}{3}}=2^1=2\)

b: \(B=36^{\dfrac{3}{2}}=\left(6^2\right)^{\dfrac{3}{2}}=6^{2\cdot\dfrac{3}{2}}=6^3=216\)

c: \(C=36^{\dfrac{3}{2}}\cdot\left(\dfrac{1}{6}\right)^2=\left(6^2\right)^{\dfrac{3}{2}}\cdot\dfrac{1}{6^2}=\dfrac{6^{2\cdot\dfrac{3}{2}}}{6^2}=\dfrac{6^3}{6^2}=6\)

d: \(D=\sqrt{81}\cdot\left(\dfrac{1}{3}\right)^2=9\cdot\dfrac{1}{3^2}=9\cdot\dfrac{1}{9}=1\)

e: \(E=\left(3+2\sqrt{2}\right)^{50}\cdot\left(3-2\sqrt{2}\right)^{50}\)

\(=\left[\left(3+2\sqrt{2}\right)\left(3-2\sqrt{2}\right)\right]^{50}\)

\(=\left(9-8\right)^{50}=1^{50}=1\)

f: \(F=120^{\sqrt{5}+1}\cdot120^{3-\sqrt{5}}\)

\(=120^{\sqrt{5}+1+3-\sqrt{5}}=120^4\)

g: \(G=\left(3+2\sqrt{2}\right)^{2019}\cdot\left(3\sqrt{2}-4\right)^{2018}\)

\(=\left(3+2\sqrt{2}\right)^{2018}\cdot\left(3\sqrt{2}-4\right)^{2018}\cdot\left(3+2\sqrt{2}\right)\)

\(=\left[\left(3+2\sqrt{2}\right)\left(3\sqrt{2}-4\right)\right]^{2018}\left(3+2\sqrt{2}\right)\)

\(=\left(9\sqrt{2}-12+12-8\sqrt{2}\right)^{2018}\cdot\left(3+2\sqrt{2}\right)\)

\(=\left(\sqrt{2}\right)^{2018}\cdot\left(3+2\sqrt{2}\right)=2^{\dfrac{1}{2}\cdot2018}\cdot\left(3+2\sqrt{2}\right)\)

\(=2^{1009}\cdot\left(3+2\sqrt{2}\right)\)

Ngu như con 

\(B=\frac{2}{3.5}+\frac{2}{5.7}+\frac{2}{7.9}+...+\frac{2}{41.43}\)

\(=\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+...+\frac{1}{41}-\frac{1}{43}\)

\(=\frac{1}{3}-\frac{1}{43}\)

\(=\frac{40}{129}\)

p/s: chúc bạn học tốt