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42-56+33-(33-56+42)
=42-56+33-33+56-42
=0
54-(45-30+54)-30+5
=54-45+30-54-30+5
=-40
![](https://rs.olm.vn/images/avt/0.png?1311)
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a) \(\left(7^5+7^9\right)\left(5^4+5^6\right)\left(3^3.3-9^2\right)=\left(7^5+7^9\right)\left(5^4+5^6\right)\left[3^4-\left(3^2\right)^2\right]=\left(7^5+7^9\right)\left(5^4+5^6\right)\left(3^4-3^4\right)=\left(7^5+7^9\right)\left(5^4+5^6\right).0=0\)
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a) \(7^3.7^5=7^{3+5}=7^8\)
b)\(5^6.5^4=5^{6+4}=5^{10}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(A=5^2+5^4+5^6+...+5^{100}+5^{102}\\ =5^2.\left(1+5^2+5^4+...+5^{98}+5^{100}\right)\\ =25.\left(1+5^2+5^4+...+5^{98}+5^{100}\right)⋮25\)
Bài 1: So sánh
a)\(^{56^{56}-56^{56}}\)và \(^{56^{56}-56^{54}}\)
b)\(3^5.7^{15}\) và \(27^5.7^{16}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
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:\(3^5< 3^{15}\);\(7^{15}< 7^{16}\)
\(\Rightarrow3^5.7^{15}< 27^5.7^{16}\)
a) 440
b) yotsuba alice
a,=(56+54)x4
=440
b,yotsuba alice