Tính
b, (71997-71995):(71994.7)
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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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\(\left(2^8+8^3\right):\left(2^5.2^3\right)\)
\(=\left[2^8+\left(2^3\right)^3\right]:2^8\)
\(=\left(2^8+2^9\right):2^8\)
\(=2^8.\left(1+2\right):2^8\)
\(=2^8.3:2^8\)
\(=3\)
Sửa đề: 3/91*96
\(B=\dfrac{3}{1\cdot6}+\dfrac{3}{6\cdot11}+...+\dfrac{3}{91\cdot96}\)
=3/5(5/1*6+5/6*11+...+5/91*96)
=3/5(1-1/6+1/6-1/11+...+1/91-1/96)
=3/5*95/96=57/96=19/32
tính
b)
c)
tìm x
b)
c)
d) (với x là số nguyên dương)
Bài 1:
b: \(=\left(\dfrac{27}{23}-\dfrac{4}{23}\right)+\left(\dfrac{5}{21}+\dfrac{16}{21}\right)+\dfrac{1}{2}=\dfrac{1}{2}\)
c: \(=\dfrac{1}{9}\left(\dfrac{2}{9}+\dfrac{7}{9}\right)-\dfrac{8}{9}=\dfrac{1}{9}-\dfrac{8}{9}=-\dfrac{7}{9}\)
Bài 2:
b: \(\Leftrightarrow x+\dfrac{3}{10}=\dfrac{17}{30}\)
hay x=4/15
\(\dfrac{1}{x^2-x}+\dfrac{x-3}{x^2-1}\left(x\ne\pm1;x\ne0\right)\)
\(=\dfrac{1}{x\left(x-1\right)}+\dfrac{x-3}{\left(x-1\right)\left(x+1\right)}\)
\(=\dfrac{x+1}{x\left(x-1\right)\left(x+1\right)}+\dfrac{x\left(x-3\right)}{x\left(x-1\right)\left(x+1\right)}\)
\(=\dfrac{x+1+x^2-3x}{x\left(x-1\right)\left(x+1\right)}\)
\(=\dfrac{x^2-2x+1}{\left(x-1\right)\left[x\left(x+1\right)\right]}\)
\(=\dfrac{\left(x-1\right)^2}{\left(x-1\right)\left(x^2+x\right)}\)
\(=\dfrac{x-1}{x^2+x}\)
(71997-71995):(71994.7) = (71997-71995):71995 = 71997 : 71995 - 71995 : 71995 = 72 : 1 = 49
(71997-71995):(71994.7)
=(71997-71995): 71995
=71997:71995-71995:71995
=72:1
=49:1=49
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