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1 tháng 10 2020

mí bài này dễ mà

1 tháng 10 2020

help tôi ko kêu dễ gì hết

1 tháng 10 2020

1) 3^4.2+2^3.5-7(5^7:5^5)

=3^4.2+2^3.5-7.5^2

=81.2+8.5-7.25

=162+40-175

=202-175=27

2) 5.2^2.2^3-4(5^8:5^6)

=5.4.8-3.5^2

=160-100=60

3) (3^5.3^7):3^10+5.2^4-7^3:7

=3^12:3^10+5.16-7^2

=3^2+80-7^2

=9+80-49=40

4) 15:(3^5:3^4)-2^9:2^7

=15:3-2^2

=5-4=1

5) 5.3^5:(3^8:3^5)-2^3.5

=5.3^5:3^3-8.5

=5.3^2-40

=5.9-40

=45-40=5

\(a,\left(7x-11\right)^3=2^5.5^2+200\)

\(\Leftrightarrow\left(7x-11\right)^3=32.25+200\)

\(\Leftrightarrow\left(7x-11\right)^3=800+200\)

\(\Leftrightarrow\left(7x-11\right)^3=1000\)

\(\Leftrightarrow\left(7x-11\right)^3=10^3\)

\(\Rightarrow7x-11=10\)

\(\Rightarrow7x=21\)

\(\Rightarrow x=3\)

\(b,3^2.x^2-2^2.x^2=5^5-\left(255:51\right).11\)

\(\Rightarrow x^2\left(3^2-2^2\right)=3125-5.11\)

\(\Rightarrow x^2\left(9-4\right)=3125-55\)

\(\Rightarrow5x^2=2970\)

\(\Rightarrow x^2=2970:5\)

\(\Rightarrow x^2=594\)

\(\Rightarrow x=3\sqrt{66}\)

25 tháng 8 2017

\(a,\left(7x-11\right)^3=2^5.5^2+200.\)

\(\left(7x+11\right)^3=32.25+200.\)

\(\left(7x+11\right)^3=800+200.\)

\(\left(7x-11\right)^3=1000.\)

\(\left(7x-11\right)^3=10^3.\)

\(\Rightarrow7x-11=10.\)

\(\Rightarrow x=\left(10+11\right):3=7\in Z.\)

Vậy.....

\(b,3^x+25=26.2^2+2.3^0.\)

\(3^x+25=26.4+2.\)

\(3^x+25=104+2.\)

\(3^x+25=106.\)

\(3^x=106-25.\)

\(3^x=81.\)

\(3^x=3^4\Rightarrow x=4\in Z.\)

Vậy.....

\(c,2^x+3.2=64.\)(có vấn đề).

\(d,5^{x+1}+5^x=750.\)

\(5^x.5^1+5^x+1=750.\)

\(5^x\left(5^1+1\right)=750.\)

\(5^x\left(5+1\right)=750.\)

\(5^x.6=750.\)

\(5^x=750:6.\)

\(5^x=125.\)

\(5^x=5^3\Rightarrow x=3\in Z.\)

Vậy.....

\(e,x^{15}=x.\)

\(\Rightarrow x\left(x^{14}-1\right)=0\Rightarrow\left\{{}\begin{matrix}x=0\\x=1\end{matrix}\right..\)

\(f,\left(x-5\right)^4=\left(x-5\right)^6.\)

\(\Leftrightarrow\left(x-5\right)^4-\left(x-5^6\right)=0.\)

\(\Leftrightarrow\left(x-5\right)^4\left[1-\left(x-5\right)^2\right]=0.\)

\(\Leftrightarrow\left(x-5\right)^4\left(1-x+5\right)\left(1+x-5\right)=0.\)

\(\Leftrightarrow\left(x-5\right)^4\left(6-x\right)\left(x-4\right)=0.\)

\(\Leftrightarrow\left(x-5\right)^4=0\Rightarrow x-5=0\Rightarrow x=5\in Z.\)

\(6-x=0\Rightarrow x=6\in Z.\)

\(x-4=0\Rightarrow x=4\in Z.\)

Vậy.....

29 tháng 9 2018

1)a)(x-5)6-(x-5)4=0 =>(x-5)4.((x-5)2-1)=0

=>(x-5)6=0 hoặc ((x-5)2-1)=0

làm nốt nhé ko có thời gian

b)x15=x2  =>x15-x2=0   =>x2.(x13-1)=0 

lại xét như trên

2)a) xét 2s=2+22+23+.....+251

2s-s=(2+22+23+.....+251)-(1+2+22+.....250)

s=250-1

b) xét 25m=53+55+57+.....+5101

25m-m=5101-5

m=(5101-5)/24

9 tháng 11 2019

\(=10-\left[\left(91-48\right).5+\left(8.10+8\right)\right]:28\)

\(=10-\left[43.5+88\right]:28\)

\(=10-\left[215+88\right]:28\)

\(=10-303:28\)

\(=10-10,821\)

\(=0,179\)

Ko chắc

9 tháng 11 2019

\(a.\left(5+2\right).x=36-1\)

\(7.x=35\)

\(x=5\)

\(b.\left(5+1\right).x=75+3\)

\(6.x=78\)

\(x=13\)

\(c.\left(6+1\right).x=5^2+3\)

\(7.x=25+3\)

\(7.x=28\)

\(x=4\)

\(d.\left(7-1\right).x=5^2+3.4-1\)

\(6.x=25+12-1\)

\(6.x=36\)

\(x=6\)

28 tháng 7 2018

a/

\(5.2^2.2^3-4.\left(5^8:5^6\right)\)

\(=5.2^2.2^3-4.5^2\)

\(=5.2^2.2^3-4.25\)

\(=5.2^5-100\)

\(=160-100=60\)

b/

\(\left(3^5.3^7\right):3^{10}+5.2^4-7^3:7\)

\(=3^{12}:3^{10}+5.2^4-7^3:7\)

\(=3^2+80-7^2\)

\(=9+80-49\)

\(=89-49\)

\(=40\)