tính nhanh
25.23-24:23
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\(\left(2^{17}+7^2\right).\left(9^{15}-3^{15}\right).\left(2^4-4^2\right)\)
\(=\left(2^{17}+7^2\right).\left(9^{15}-3^{15}\right).\left(16-16\right)\)
\(=\left(2^{17}+7^2\right).\left(9^{15}-3^{15}\right).0\)
\(=0\)
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\(\left(7^{1997}-7^{1995}\right):\left(7^{1994}.7\right)\)
\(=\left[7^{1995}\left(7^2-1\right)\right]:7^{1995}\)
\(=7^{1995}.48:7^{1995}\)
\(=48\)
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\(\left(1^2+2^3+3^4+4^5\right).\left(1^3+2^3+3^3+4^3\right).\left(3^8-81^2\right)\)
\(=\left(1^2+2^3+3^4+4^5\right).\left(1^3+2^3+3^3+4^3\right).\left(6561-6561\right)\)
\(=\left(1^2+2^3+3^4+4^5\right).\left(1^3+2^3+3^3+4^3\right).0\)
\(=0\)
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\(\left(2^8+8^3\right):\left(2^5.2^3\right)\)
\(=\left[2^8+\left(2^3\right)^3\right]:2^8\)
\(=\left(2^8+2^9\right):2^8\)
\(=2^8.\left(1+2\right):2^8\)
\(=2^8.3:2^8\)
\(=3\)
\(a,A=\left(2^{17}+17^2\right)\left(9^{15}-3^{30}\right).\left(2^4-32^2\right)\)
\(\Rightarrow A=\left(2^{17}+17^2\right)\left(3^{30}-3^{30}\right).\left(2^4-32^2\right)\)
\(\Rightarrow A=\left(2^{17}+17^2\right).0.\left(2^4-32^2\right)\)
\(\Rightarrow A=0.\)
\(\Rightarrow B=\left(2^8.8^3\right):\left(2^5.2^3\right)\)
\(\Rightarrow B=\left(2^8.2^9\right):\left(2^5.2^3\right)\)
\(\Rightarrow B=2^{17}:2^8\)
\(\Rightarrow B=2^9\)
\(\Rightarrow B=512\)
\(c,C=64^4.16^5:4^{20}\)
\(\Rightarrow C=2^{24}.2^{20}:2^{40}\)
\(\Rightarrow C=2^4\)
\(\Rightarrow C=16\)
a: \(A=\left(2^{17}+17^2\right)\cdot\left(2^4-32^2\right)\cdot\left(3^{30}-3^{30}\right)=0\)
b: \(B=\dfrac{2^8\cdot2^9}{2^5\cdot2^3}=2^9\)
c: \(C=2^{24}\cdot2^{20}:2^{40}=2^4=16\)
1)
33 . 18 + 72 . 42 - 41 . 18
= 33 . 18 + 18 . 43 - 41 . 18
= 18 . ( 33 + 43 - 41 )
= 18 . 50
= 900
2) ( 56 . 46 - 25 . 23 ) : 23
= ( 112 . 23 - 25 . 23 ) : 23
= ( 112 - 25 ) . 23 : 23
= 87 . 23 : 23
= 87
3) ( 76 . 34 - 19 . 64 ) : ( 38 . 9 )
= ( 19 . 136 - 19 . 64 ) : ( 19 . 18 )
= 19 . ( 136 - 64 ) : ( 19 . 18 )
= 19 . 72 : 19 . 18
= 19 . 4
= 76
4) ( 5 . 411 - 3 . 165 ) : 410
= ( 5 . 411 - 3 . 410 ) : 410
= ( 20 . 410 - 3 . 410 ) : 410
= ( 20 - 3 ) . 410 : 410
= 17
24.47 - \(\frac{23}{24}\)+ 47 - 23
= 24.47 - 0.9583333333 + 47 - 23
= 23.51166667 + 47 - 23
= 70.51166667 - 23
= 47.51166667
22 + 23 + 24 +... + 27 + 28 = (22 + 28) + (23 + 27) + (24 + 26) + 25
= 50 + 50 + 50 + 25 = 175
=23(25-24)=8*1=8
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