#)Giải :

\(\left(\frac{1}{2}\right)^{15}\div\left(\frac{1}{4}\right)^{20}=\left(\frac{1}{2}\right)^{15}\div\left(\frac{1}{2}\right)^{40}=\left(\frac{1}{2}\right)^{-25}\)

Cảm ơn bạn nha

Bài 2:

Ta thấy: 5² > 4.5

6² > 5.6

7² > 6.7

     ....

2017² > 2016.2017

\(\Rightarrow\)\(\frac{1}{5^2}< \frac{1}{4.5}\)

\(\frac{1}{6^2}< \frac{1}{5.6}\)

\(\frac{1}{7^2}< \frac{1}{6.7}\)

....

\(\frac{1}{2017^2}< \frac{1}{2016.2017}\)

Cộng vế với nhau, ta có:

\(\frac{1}{5^2}+\frac{1}{6^2}+\frac{1}{7^2}+...+\frac{1}{2017^2}\) < \(\frac{1}{4.5}+\frac{1}{5.6}+\frac{1}{6.7}+...+\frac{1}{2016.2017}\)

\(\Rightarrow\)A < \(\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}+...+\frac{1}{2016}-\frac{1}{2017}\)

\(\Rightarrow\)A < \(\frac{1}{4}-\frac{1}{2017}\)

\(\Rightarrow\)A < \(\frac{1}{4}\)( vì \(\frac{1}{2017}>0\))

k giúp mik ✅

\(112\cdot35+112\cdot65+800\)

\(=112\cdot\left(35+65\right)+800\)

\(=112\cdot100+800\)

\(=11200+800\)

\(=12000\)

a, 5\(\dfrac{4}{27}\) + \(\dfrac{6}{23}\) + 0,25 - \(\dfrac{4}{27}\) + \(\dfrac{17}{23}\)

= 5 +  (\(\dfrac{4}{27}\) - \(\dfrac{4}{27}\)) + (\(\dfrac{6}{23}\) + \(\dfrac{17}{23}\)) + 0,25

= 5 + 1 + 0,25

= 6,25

b, 16.(\(\dfrac{1}{2}\))³ - \(\dfrac{3}{5}\): 0,75

= 16.\(\dfrac{1}{8}\) - 0,8

= 2 - 0,8

= 1,2

[461 + (-78) + 40] + (-461)

= 461 + (-78) + 40 + (-461)

= [461 + (-461)] + (-78) + 40

= 0 + (-78) + 40

= -78 + 40

= -38

a. \(\frac{1}{5}+\frac{3}{4}+\frac{1}{10}\)

= \(\frac{4}{20}+\frac{15}{20}+\frac{2}{20}\)

= \(\frac{21}{20}\)

b. \(\frac{5}{6}-\frac{1}{3}+\frac{1}{6}\)

= \(\frac{5}{6}-\frac{2}{6}+\frac{1}{6}\)

= \(\frac{4}{6}=\frac{2}{3}\)

c. \(\frac{3}{8}-\frac{10}{2}:\frac{4}{5}\)

= \(\frac{3}{8}-\frac{50}{8}\)

= \(\frac{-47}{8}\)

a) \(\frac{1}{5}+\frac{3}{4}+\frac{1}{10}\)

 = \(\frac{4+15+2}{20}\)

 = \(\frac{21}{20}\)

b) \(\frac{5}{6}-\frac{1}{3}+\frac{1}{6}\)

 = \(\frac{5-2+1}{6}\)

 = \(\frac{4}{6}\)

c) \(\frac{3}{8}-\frac{10}{2}:\frac{4}{5}\)

 = \(\frac{3}{8}-\frac{25}{4}\)

 = \(-\frac{47}{8}\)

b,1/5+3/4+1/10

=4/20+15/20+2/20

=21/20

a,5/6-1/3+5/6

5/6-2/6+5/6

=8/6

=4/3

c,3/8-10/2:4/5

=3/8-25/3

-191/24

nhớ k nha

a) \(176+483+24+117=\left(176+24\right)+\left(483+117\right)=200+600=800\)

b) \(5^6:5^4-2^3-3^0=5^2-8-1=17-1=16\)

c) \(27.62+27.39-27=27.\left(62+39-1\right)=27.100=2700\)

Dạ, xin lỗi nãy mình nhầm đề ý b), bạn sửa thành này giúp mình nhé:

\(5^6:5^4+2^3-3^0=5^2+8-1=33-1=32\)

c)  27 .62 + 27 .39 - 27

= 27 .62 + 27 .39 - 27 .1

= 27 .(62 + 39 - 1)

= 27 .100

= 2700