1.

Xét tổng $2+4+6+....+2014$:

Số số hạng: $(2014-2):2+1=1007$

Giá trị tổng trên là: $(2014+2).1007:2=1010021$

Xét tổng $3+5+...+2011$:

Số số hạng: $(2011-3):2+1=1005$
Giá trị tổng trên: $(2011+3).1005:2=1012035$

$A=1010021-1012035=-2014$

\(A=\frac{2^{10}+3.2^{11}}{10.4^5}\)

\(\rightarrow A=\frac{2^{10}.91+3.2}{10.\left(2^2\right).5}\)

\(\rightarrow A=\frac{2^{10}.7}{10.2^{10}}\)

\(\rightarrow A=\frac{7}{10}\)

a,9!-8!-7!.8^2

=362880-40320-5040.64

=322560-5040.64

=317520.64

=20321280

b,\(\frac{\left(3.4.2^{16}\right)^2}{11\cdot2^{13}.4^{11}.16^9}=\frac{\left(3^{16}.4^{16}.2^{16}\right)^2}{11.2^{13}.\left(2^2\right)^{11}.\left(2^4\right)^9}=\frac{3^{32}.4^{32}.2^{32}}{11.2^{13}.2^{22}.2^{36}}=\frac{3^{32}.\left(2^2\right)^{32}.2^{32}}{11.2^{71}}=\frac{3^{32}.2^{64}.2^{32}}{11.2^{71}}=\frac{3^{32}.2^{96}}{11.2^{71}}=\frac{3^{32}.2^{71}.2^{25}}{11.2^{71}}=\frac{3^{32}.2^{25}}{11}\)

nhanh k 10 k lun

nhyhvgfh

10 < 10 + 3

11 + 2=2 + 11

9 < 10 + 9

10 = 10 + 0

17 – 4 > 14 - 3

18 – 4 >12

15 > 15 – 1

17 + 1<17 + 2

12+ 5 > 16

16 =19 - 3

15 – 4 =10 + 1

19 – 3 >11

Giải chi tiết cho mình nha

\(\dfrac{2}{5}+\dfrac{11}{15}=\dfrac{6}{15}+\dfrac{11}{15}=\dfrac{17}{15}\)

\(\dfrac{7}{8}-\dfrac{7}{9}=\dfrac{63}{72}-\dfrac{56}{72}=\dfrac{7}{72}\)

\(\dfrac{11}{13}\times\dfrac{26}{31}=\dfrac{22}{31}\)

\(\dfrac{16}{24}:4=\dfrac{16}{24}\times\dfrac{1}{4}=\dfrac{4}{24}=\dfrac{1}{6}\)

\(30:\dfrac{6}{5}=30\times\dfrac{5}{6}=25\)

\(\dfrac{9}{16}:4=\dfrac{9}{16}\times\dfrac{1}{4}=\dfrac{9}{64}\)

\(\dfrac{1}{2}:\dfrac{1}{3}\times\dfrac{8}{15}=\dfrac{1}{2}\times3\times\dfrac{8}{15}=\dfrac{4}{5}\)

2/5 + 11/15 = 17/15
7/8 - 7/9 = 7/72
11/13 x 26/31 = 22/31
16/24 : 4 = 1/6
30 : 6/5 = 25
9/16 : 4 = 9/64
1/2 : 1/3 x 8/15 = 3/2 x 8/15 = 4/5