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a)
204 - 84:12 = 204 - 7 = 197
b)
15.23 + 4.32 - 5.7 = 15.8 + 4.9 – 5.7 = 120 + 36 - 35 = 121
c) Áp dụng:
am . an = am+n
am : an = am-n
56:53 + 23.22 = 53 + 25 = 125 + 32 = 157
d)
164.53 + 47.164 = 164(53 + 47) = 164.100 = 16400
a) 204 - 84 : 12
= 204 - 7 = 197
b) 15.23 + 4.32 - 5.7
= 15.8 + 4.9 - 35
= 120 + 36 - 35
= 156 - 35
= 121
c) 56 : 53 + 23.22
= 56 - 3 + 23 + 2
= 53 + 25
= 125 + 32
= 157
d) 164.53 + 47.164
= 164.( 53 + 47 )
= 164.100
= 16400
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\(a,\frac{5\cdot6+5\cdot7}{5\cdot8+20}=\frac{\left(5\cdot6+5\cdot7\right)\div2}{\left(5.8+20\right)\div2}=\frac{13}{12}\)
\(\frac{8.9-4.15}{12.7-180}=\frac{12.6-12.5}{12.7-12.15}=\frac{1}{-8}=\frac{-1}{8}\)
\(Ta\)\(co\)\(\frac{13}{12}=\frac{13.2}{12.2}=\frac{26}{24}\)
\(\frac{-1}{8}=\frac{3\left(-1\right)}{3.8}=\frac{-3}{24}\)
Phần b bạn tính ra rồi làm tương tự phần a nha chúc bạn học giỏi!!!
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a)\(\left(\frac{1}{2}-\frac{1}{3}\right).6^x+6^{x+2}=6^{15}+6^{18}\)
\(\frac{1}{6}.6^x+6^{x+2}=6^{15}\left(1+6^3\right)\)
\(\frac{1}{6}.6^x\left(1+6^3\right)=6^{15}.217\)
\(6^{x-1}.217=6^{15}.217\)
\(6^{x-1}=6^{15}\)
\(x-1=15\)
\(x=16\)
b) \(\left(\frac{1}{2}-\frac{1}{6}\right).3^{x+4}-4.3^x=3^{16}-4.3^{13}\)
\(\frac{1}{3}.3^x.4\left(3^4-1\right)=3^{13}.4\left(3^3-1\right)\)
\(3^x.4.\left(3^3-1\right)=3^{13}.4.\left(3^3-1\right)\)
\(3^x=3^{13}\)
\(x=13\)
\(\left(\frac{1}{2}-\frac{1}{6}\right).\left(3^x.3^4\right)-4.3^x=3^{16}-4.3^{13}\)
=> \(\frac{1}{3}.3^x.3^4-4.3^x=3^{16}-4.3^{13}\)
=> \(3^x.3^4-4.3^x=\left(3^{16}-4.3^{13}\right):\frac{1}{3}\)
=> \(3^x.3^4-4.3^x=-386339074,3\)
=> \(3^x.\left(3^4-4\right)=-386339074,3\)
=> \(3^x.77=-386339074,3\)
=> \(3^x=-386339074,3:77\)
=> \(3^x=-5017390,575\)
=> x = ... chắc tự ngồi tính đc
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Ta có: \(\frac{2^5.7+2^5}{2^5.5^2-2^5.3}\) = \(\frac{2^5.\left(7+1\right)}{2^5.\left(5^2-3\right)}\) = \(\frac{2^5.8}{2^5.22}\) = \(\frac{8}{22}\) =\(\frac{56}{154}\)
\(\frac{3^4.5-3^6}{3^4.13+3^4}\) = \(\frac{3^4.\left(5-3^2\right)}{3^4.\left(13+1\right)}\) = \(\frac{3^4.\left(-4\right)}{3^4.14}\) = \(\frac{-4}{14}\)= \(\frac{-44}{154}\)
Bài 1: So sánh
a)\(^{56^{56}-56^{56}}\)và \(^{56^{56}-56^{54}}\)
b)\(3^5.7^{15}\) và \(27^5.7^{16}\)
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a, ta có:VT=0 \(\Rightarrow56^{56}-56^{56}< 56^{56}-56^{54}\)
b,Ta có:\(27^5.7^{16}=(3^3)^5.7^{16}\)\(\Leftrightarrow3^{15}.7^{16}\)
nhận thấy:\(3^5< 3^{15}\);\(7^{15}< 7^{16}\)
\(\Rightarrow3^5.7^{15}< 27^5.7^{16}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Bài 1: Tìm số đối.
- Số đối của \(\dfrac{1}{2}\) là \(-\dfrac{1}{2}\)
- Số đối của \(-\dfrac{3}{4}\) là \(\dfrac{3}{4}\)
- Số đối của \(\dfrac{7}{-12}\) là \(\dfrac{7}{12}\)
Bài 2: Thu gọn:
\(\dfrac{2^4.3^3-2^4.3^3}{2^5.3^4-2^6.3^3}=\dfrac{0}{2^5.3^4-2^6.3^3}=0\)
= 15.8+4.9-35
=120+36-35
=121
\(15.2^3+4.3^2-5.7\)
\(=15.8+4.9-5.7\)
\(=120+36-35\)
\(=156-35\)
\(=121\)