3/2.7/2+(-5/6+1/10);11/30
3/2.7/2+(-5/6+1/10):11/30)
\(\dfrac{3}{2}.\dfrac{7}{2}+\left(\dfrac{-5}{6}+\dfrac{1}{10}\right):\dfrac{11}{30}\)
=\(\dfrac{21}{4}\)+(\(\dfrac{-25}{30}+\dfrac{3}{30}\)):\(\dfrac{11}{30}\)
=\(\dfrac{21}{4}\)+\(\dfrac{-11}{15}\):\(\dfrac{11}{30}\)
=\(\dfrac{21}{4}\)+(-2)
=\(\dfrac{21}{4}\)+\(\dfrac{-8}{4}\)=\(\dfrac{13}{4}\)
\(\dfrac{3}{2}.\dfrac{7}{2}+\left(\dfrac{-5}{6}+\dfrac{1}{10}\right):\dfrac{11}{30}\)
\(=\dfrac{21}{4}+\dfrac{-11}{15}:\dfrac{11}{30}\)
\(=\dfrac{21}{4}+\left(-2\right)\)
\(=\dfrac{13}{4}\)
Tính gọn biểu thức:
1/ -5.7^5+7^4:7^6.10-2.7^5
2/10^3+5.10^2+5^3:-13
So Sánh :
a) \(\frac{9^{10}-4}{9^{10}-5}\) và \(\frac{9^{10}-2}{9^{10}-3}\)
b)\(\frac{2.7^{10}-1}{7^{10}}\) và \(\frac{2.7^{10}+1}{7^{10}+1}\)
a ) Ta có :
\(\frac{9^{10}-4}{9^{10}-5}=\frac{9^{10}-5+1}{9^{10}-5}=1+\frac{1}{9^{10}-5}\)
\(\frac{9^{10}-2}{9^{10}-3}=\frac{9^{10}-3+1}{9^{10}-3}=1+\frac{1}{9^{10}-3}\)
Do \(\frac{1}{9^{10}-5}>\frac{1}{9^{10}-3}\)
\(\Rightarrow1+\frac{1}{9^{10}-5}>1+\frac{1}{9^{10}-3}\)
\(\Rightarrow\frac{9^{10}-4}{9^{10}-5}>\frac{9^{10}-2}{9^{10}-3}\)
b ) Ta có :
\(\frac{2.7^{10}-1}{7^{10}}=2-\frac{1}{7^{10}}\)
\(\frac{2.7^{10}+1}{7^{10}+1}=\frac{2.7^{10}+2-1}{7^{10}+1}=\frac{2\left(7^{10}+1\right)-1}{7^{10}+1}=2-\frac{1}{7^{10}+1}\)
Do \(\frac{1}{7^{10}}>\frac{1}{7^{10}+1}\)
\(\Rightarrow2-\frac{1}{7^{10}}< 2-\frac{1}{7^{10}+1}\)
\(\Rightarrow\frac{2.7^{10}-1}{7^{10}}< \frac{2.7^{10}+1}{7^{10}+1}\)
Bài 11 : So sánh
a) 9^10-4/9^10-5 và 9^10-2/9^10-3
b) 2.7^10-1/7^10 và 2.7^10+1/7^10+1
Các bạn giúp mình giải nhé , mai đã là phải nộp rồi , mong các bạn giúp mình bài này .
A, 910 -4/910- 5
= (9-4/9)10- 5
= 77/910 - 5
910 - 2/910 - 3
=( 9-2/9 )10 - 3
= 79/910 -3
vì 77/9
a) Ta có: \(1-\frac{9^{10}-4}{9^{10}-5}=\frac{-1}{9^{10}-5}\)
\(1-\frac{9^{10}-2}{9^{10}-3}=\frac{-1}{9^{10}-3}\)
Vì \(\frac{-1}{9^{10}-5}< \frac{-1}{9^{10}-3}\Rightarrow1-\frac{9^{10}-4}{9^{10}-5}< 1-\frac{9^{10}-2}{9^{10}-3}\)
\(\Rightarrow\frac{9^{10}-4}{9^{10}-5}>\frac{9^{10}-2}{9^{10}-3}\).
b) Ta có: \(1-\frac{2.7^{10}-1}{7^{10}}=\frac{7^{10}+1}{7^{10}}\)
\(1-\frac{2.7^{10}+1}{7^{10}+1}=\frac{7^{10}}{7^{10}+1}\)
Vì \(\frac{7^{10}+1}{7^{10}}>\frac{7^{10}}{7^{10}+1}\Rightarrow1-\frac{2.7^{10}-1}{7^{10}}>1-\frac{2.7^{10}+1}{7^{10}+1}\)
\(\Rightarrow\frac{2.7^{10}-1}{7^{10}}< \frac{2.7^{10}+1}{7^{10}+1}\)
tìm x,
7\(^{x+2}\)+2.7\(^{x-1}\)=345
b, 1^2+2^2+3^2+4^2+5^2+6^2+7^2+8^2+9^2+10^2=385
Tính tổng S=2^2+4^2+6^2+....++20^2
tinh bang cach thuan tien: (5.75-74).2 / 76.10-2.75
Tính:
1/25:5,7
2/30:2.8.4
3/20:2^2.14
4/125:5^3.170
5/64:2^5.30.4
6/(25:5^2.30):15.7
7/(64:2^4.16):32.48
8/(81:3^3.15):9.(40:8.2)
9/[ (5^2.2:10).4]:(2^2.5:2)
10/(15:3.5^2):(20:2^2)
11/2^2.3^2-5.2.3
12/3^2.5-2^2.7+1.5
13/5^2.2-3^2.4
14/7^2.3-5^2.3
15/2^33.3^2-4^2.3
16/5^2.2^3+3^2.7-8^2.2
17/(5.2^2-20):5+3^2.6
18/(24.5-5^2.2):(5.2)-3
19/[(5^2.2^3-7^2.2):2].6-7.2^5
20/(6.5^2-13.7).2-2^3(7+3)
các bạn ơi ,giúp mình đi nha ,chỉ trong 3 tiếng nữa thôi mình phải nộp bài rồi .bạn nào làm được mình hứa sẽ tích đúng cho luôn nha
1. 25 : 5,7 = 250/57
2. 30:2.8.4 = 480
3. 20:2^2.14= 70
4. 125:5^3.170= 170
5. 64:2^5.30.4=240
6. (25:5^2.30): 15.7=14
bạn à! Nhiều quá mình ko làm hết được. sorry nha.^-^
dù dài quá nhưng cố gắng giúp mình làm hết nha
Tính gọn biểu thức :
a,-5.7^5+7^4:7^6.10-2.7^5
b,10^3+5.10^2+5^3:-13
Tìm x biết :
4/x=8/6
3/x-5=-4/x+2
X/-2=-8/x
Rút gọn các phân số
2^4.5^2.11^2.7/2^3.5^3.7^2.11
2^10.3^10-2^10.3^9/2^9.3^10
5^11.7^12+5^12.7^11/5^12.7^12+9.5^11.7^11
1. Tìm x, biết:
a) \(\frac{4}{x}=\frac{8}{6}\). Ta có: \(\frac{8}{6}=\frac{8:2}{6:2}=\frac{4}{3}\Rightarrow x=3\)
b) \(\frac{3}{x-5}=\frac{4}{x+2}\). Ta có: \(5-2=3\)
\(\Rightarrow x=\left(3.5\right)+\left(4.2\right)+3=15+8+3=26\)
c) \(\frac{x}{-2}=\frac{-8}{x}\Rightarrow x=\left(-8\right):\left(-2\right)=4\)
2. Rút gọn
a) \(\frac{2^4.5^2.11^2.7}{2^3.5^3.7^2.11}\Leftrightarrow\frac{2^3.2^1.5^2.11.11.7}{2^3.5^2.5^1.7.7.11}\Leftrightarrow\frac{2^1.11}{5^1.7}=\frac{22}{35}\)
b) Tương tự
c) Tương tự
\(\frac{4}{x}=\frac{8}{6}\Rightarrow x=\frac{4.6}{8}=3\)
\(\frac{3}{x-5}=\frac{-4}{x+2}\Rightarrow3\left(x+2\right)=-4\left(x-5\right)\)
\(\Rightarrow3x+6=-4x+20\)
\(\Rightarrow3x+4x=20-6\)
\(\Rightarrow7x=14\)
\(\Rightarrow x=2\)
\(\frac{x}{-2}=\frac{-8}{x}\Rightarrow x^2=\left(-8\right)\left(-2\right)=16\Rightarrow x=\pm4\)
\(\frac{4}{x}=\frac{8}{6}\)
\(\Rightarrow4\cdot6=x\cdot8\)
\(\Rightarrow x=\frac{4\cdot6}{8}\)
\(\Rightarrow x=3\)