a) \(204-84:12=204-7=197\)

b) \(15.2^3+4.3^2-5.7=15.8+4.9+5.7=120+36+35=156+35=191\)

c) \(5^6:5^3+2^3.2^2=5^3+2^5=125+32=157\)

d) \(164.53+47.164=164.\left(53+47\right)=164.100=16400\)

_Chúc bạn học tốt_

Phép tính 1

204 - 84 : 12 = 204 - 7 = 197

Phép tính 2

5^5 : 5^3 + 2^3 . 2^2

= 5^2 + 2^5

= 25 + 32

= 57

a=197

b=157

c=121

d=16400

a)197

b)157

c)121

d)16400

a, 204-84:12                                                                   b,5⁶:5³+2³.2²

=204-7                                                                                 =5³+2⁵

=197                                                                                     =125+32

                                                                                              =157

c,15.2³+4.3²-5.7                                                               d,164.53+47.164

=15.4²+4.3²-35                                                                    =164(53+47)

=4.(60+9)-35                                                                        =164.100

=4.69-35                                                                               =16400

=276-35

=341

3. 3³.19-3³.12=3³.(19-12)=3³.7=189

4. 3.5²-16:2²=3.5²-2⁴:2²=3.25-4=75-4=71

a) 125 - 5(x + 10) = 12

=> 5(x + 10) = 125 - 12 = 113

=> x + 10 = 113 : 5

=> x + 10 = 113/5

=> x = 113/5 - 10 = 63/5

b) (x - 1)² = 4 => (x - 1)² = (\(\pm\)2)²

=> x - 1 = 2 hoặc x - 1 = -2

=> x = 3 hoặc x = -1

c) 5^x+1 - 5² . 17 = 5².8

=> 5^x . 5 - 5² . 17 = 5² . 8

=> 5^x . 5 = 5².8 + 5² . 17

=> 5^x . 5 = 5²(8 + 17)

=> 5^x . 5 = 5² . 5²

=> 5^x = \(\frac{5^2\cdot5^2}{5}=5^3\)

=> x = 3

d) 84 + (12 - 3.x) : 6 = 85

=> 84 + (12 - 3.x) = 510

=> 12 - 3.x = 426

=> 3.x = -414

=> x = -138

e) (x + 1) + (x + 2) + (x + 3) + ... + (x + 99) + (x + 100) = 5150

=> x + 1 + x + 2 + x + 3 + ... + x + 99 + x + 100 = 5150

=> (x + x +  .... + x) + (1 + 2 + 3+ ... + 100) = 5150

=> 100x + 5050 = 5150

=> 100x = 5150 - 5050 = 100

=> x = 1

Bài làm:

\(a,125-5.\left(x+10\right)=12\)

\(\Rightarrow5.\left(x+10\right)=125-12\)

\(\Rightarrow5.\left(x+10\right)=113\)

\(\Rightarrow x+10=\frac{113}{5}\)

\(\Rightarrow x=\frac{63}{5}\)

\(b,\left(x-1\right)^2=4\)

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

\(\Rightarrow\orbr{\begin{cases}x-1=2\\x-1=-2\end{cases}}\Rightarrow\orbr{\begin{cases}x=3\\x=-1\end{cases}}\)

\(c,5^{x+1}-5^2.17=5^2.8\)

\(\Rightarrow5^{x+1}-425=200\)

\(\Rightarrow5^{x+1}=200+425\)

\(\Rightarrow5^{x+1}=625\)

\(\Rightarrow5^{x+1}=5^4\)

\(\Rightarrow x+1=4\)

\(\Rightarrow x=3\)

\(d,84+\left(12-3.x\right):6=85\)

\(\left(12-3x\right):6=85-84\)

\(\left(12-3x\right):6=1\)

\(12-3x=6\)

\(3x=6\)

\(x=2\)

\(e,\left(x+1\right)+\left(x+2\right)+\left(x+3\right)+...+\left(x+99\right)+\left(x+100\right)=5150\)

\(100.x+\left(1+2+3+...+99+100\right)=5150\)

\(100.x+5050=5150\)

\(100.x=5150-5050\)

\(100.x=100\)

\(x=1\)

Học tốt nhé

Sửa lại câu d nhaa , xin lỗi bạn nhé

84 + (12 - 3x) : 6 = 85

=> (12 - 3x) : 6 = 85 - 84

=> (12 - 3x) : 6 = 1

=> 12 - 3x = 6

=> 3x = 6

=> x = 2

204-84:2=204-42=162

15.2³+4.3²-5.7=15.8+4.9-35=120+36-35=121

5⁶:5³+2³.2²=15625:125+8.4=125+32=157

164.53+47.164=164.(53+47)=164.100=16400

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