\(\left\{x^2-\left[6^2-\left(8^2-9.7\right)^3-7.5\right]^3-5.3\right\}^3=1\)

\(\Rightarrow\left\{x^2-\left(36-1^3-35\right)^3-15\right\}^3=1\)

\(\Rightarrow x^2-\left(0^3-15\right)^3=1\)

\(\Rightarrow x^2-\left(-3375\right)=1\)

\(\Rightarrow x^2=-3374\)

\(\Rightarrow x\in\varnothing\)

{ x² - [ 6² - ( 8² - 9.7)³ - 7.5]³ - 5.3 }³ = 1

{ x² + [ 36 - (64 - 63)³ - 35]³ - 15}³ = 1

[ x² - ( 36 - 1³ - 35 ) - 15 ]³ = 1

[ x² - ( 36 - 1 - 35 ) - 15]³ = 1

[ x² - ( 35 - 35 ) - 15]³ = 1

[ x² - 0 - 15]³ = 1

( x² - 15 )³ = 1

<=> ( x² - 15)³ = 1³

=> x² - 15 = 1

<=> x² = 16

=> x = 4

Câu 1: (-13).(-11)=143

Câu 2 : -170-9+2+1:2+1=-179+2+1/2+1=-176+1/2=-175,5

Câu 3:-2/30-(-20/5)+16/4=-2/30+20/5+16/4=-1/15+4+4=-1/15+8=-1/15+120/15=121/15

(-13).(-11)

=13.11

=143

2.

(-179)-9+2+1:2+1

=(-179)-9+2+0.5+1

=(-188)+2+0.5+1

=(-186)+0.5+1

=(-184.5)

3.

(-2/3)-(-20/5)+16/4

=(-2/3)+20/5+16/4

=-40/60+240/60+240/60

=520/60=26/3

\(S=1+2+2^2+2^3+...+2^9\)

\(2S=2+2^2+2^3+2^4+...+2^{10}\)

\(2S-S=\left(2+2^2+2^3+2^4+...+2^{10}\right)-\left(1+2+2^2+2^3+...+2^9\right)\)

\(S=2^{10}-1\)

Ta có: \(5.2^8=\left(4+1\right).2^8=4.2^8+2^8=2^2.2^8+2^8=2^{10}+2^8\)

Vậy 2¹⁰ - 1 < 2¹⁰ + 2⁸ hay S < 5.2⁸

bài 1 mình tính ra là 855

bài 2 thì mình ko bít thông nha bạn?

bài 2 thì ko làm được thông cảm cho mình nha ?

1 k là mình vui rồi hihi

\(\frac{8}{5}-\frac{1}{2}\div\frac{1}{4}\times\left(\frac{3}{7}+\frac{1}{4}\right)\)

\(=\frac{8}{5}-2\times\frac{19}{28}\)

\(=\frac{8}{5}-\frac{19}{14}\)

\(=\frac{17}{70}\)

\(\frac{8}{5}-\frac{1}{2}:\frac{1}{4}.\left(\frac{3}{7}+\frac{1}{4}\right)=\frac{8}{5}-\frac{1}{2}.4\left(\frac{3}{7}+\frac{1}{4}\right)\)

\(=\frac{8}{5}-2\left(\frac{3}{7}+\frac{1}{4}\right)\)

\(=\frac{8}{5}-\frac{6}{7}+\frac{1}{2}\)

\(=\frac{8.7.2}{5.7.2}-\frac{6.5.2}{5.7.2}+\frac{5.7}{5.7.2}\)

\(=\frac{112}{70}-\frac{60}{70}+\frac{35}{70}\)

\(=\frac{87}{70}\)

k nha  Vương Thu Trà

A = (3+ 3^2 +3^3)+ (3^4 + 3^5+ 3^6)+(3^7+ 3^8 + 3^9)

    = 39 + 3^3 (3+ 3^2+ 3^3) + 3^6(3+ 3^2+ 3^3)

    = 39 + 3^3 .39 +3^6 .39

Vì 39 chia hết cho 13 nên A chia hết cho 13

A = 3 + 3² + 3³ + .... + 3⁸ + 3⁹

A = (3 + 3² + 3³) + (3⁴ + 3⁵ + 3⁶) + (3⁷ + 3⁸ + 3⁹)

A = (3 + 3² + 3³) + 3³(3 + 3² + 3³) + 3⁶(3 + 3² + 3³)

A = (3 + 3² + 3³).(1 + 3³ + 3⁶)

A= 39.( 1 + 3³ + 3⁶ ) chia hết cho 13 (vì 39 chia hết cho 13)

bạn thích nalu à

đây nhé!!

1+2-3-4+5+6-7-8+9+10-........+2010-2011-2012+2013+2014-2015-2016+2017

=1+(2-3-4+5)+(6-7-8+9)+(10-11-12+13)+....+(2010-2011-2012+2013)+(2014-2015-2016+2017)

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

=1. 

ĐÚNG THÌ  CHO MINK NHA!!^_^

\(A=\frac{1\cdot2+2\cdot4+3\cdot6+4\cdot8+5\cdot10}{3\cdot4+6\cdot8+9\cdot12+12\cdot16+15\cdot20}\)

\(=>A=\frac{1\cdot2+4\cdot1\cdot2+9\cdot1\cdot2+16\cdot1\cdot2+25\cdot1\cdot2}{3\cdot4+4\cdot3\cdot4+9\cdot3\cdot4+16\cdot3\cdot4+25\cdot3\cdot4}\)

\(=>A=\frac{\left(1+4+9+16+25\right)\cdot1\cdot2}{\left(1+4+9+16+25\right)\cdot3\cdot4}=\frac{1}{6}=\frac{111111}{666666}\)

Mà \(\frac{111111}{666666}< \frac{111111}{666665}\)

\(=>A< B\)