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c: \(=\dfrac{-27\cdot100}{-30}=\dfrac{2700}{30}=90\)
\(\left(1^1+2^2+3^3+4^4+...+2022^{2022}\right)\left(8^2-576:3^2\right)\)
\(=\left(1^1+2^2+3^3+4^4+...+2022^{2022}\right)\left(64-576:3^2\right)\)
\(=\left(1^1+2^2+3^3+4^4+...+2022^{2022}\right)\left(64-64\right)\)
\(=\left(1^1+2^2+3^3+4^4+2022^{2022}\right).0\)
\(=0\)
\(-23-150+\left(-9\right)+1913\)
\(=1913-\left(23+150+9\right)\)
\(=1913-182\)
\(=1731\)
−23 − 150 + (−9) + 1913
= -23 + (-150) + (-9) + 1913
= -(23 + 150 + 9) + 1913 = -182 + 1913 = 1913 - 182
= 1731
a, 102 . 32 + 53
= 100 . 9 . 125
= 900 . 125
= 112.500
b, 124 : 123 + 73 : 7
= 124-3 + 73-1
= 12 + 72
= 12 + 49
= 61
c, ( 21 + 19 )4 : 402 + 31 - 1600
= 404 : 402 + 31 - 1600
= 402 + 31 - 1600
= 1600 + 31 - 1600
= ( 1600 - 1600 ) + 31
= 0 + 31
= 31
d, ( 572 - 72 )2 + 33 . 2 - 20 000
= 5002 + 27 . 2 - 20 000
= 25 000 + 54 - 20 000
= 25 054 + 20 000
= 5 054
Đây bạn nhé!!!
Học tốt nhé!!!
a: =6/16-7/16-8/16=-9/16
b: =3/5(4/7+5/7-2/7)=3/5
c: =12+9/16+16+3/25-9-3/25+5+7/16
=26+1=27
\(=\dfrac{2^{19}\cdot3^9\cdot5+2^{18}\cdot3^9\cdot5}{2^{19}\cdot3^9-2^{20}\cdot3^{10}}\)
\(=\dfrac{2^{18}\cdot3^9\cdot5\left(2+1\right)}{2^{19}\cdot3^9\left(1-2\cdot3\right)}=\dfrac{1}{2}\cdot\dfrac{5\cdot3}{-5}=-\dfrac{3}{2}\)
\(A=\dfrac{2^{19}\cdot27^3\cdot5-15\cdot\left(-4\right)^9\cdot9^4}{6^9\cdot2^{10}-\left(-12\right)^{10}}\)
\(A=\dfrac{2^{19}\cdot\left(3^3\right)^3\cdot5-3\cdot5\cdot-\left(2^2\right)^9\cdot\left(3^2\right)^4}{2^9\cdot3^9\cdot2^{10}-\left(2^2\right)^{10}\cdot3^{10}}\)
\(A=\dfrac{2^{19}\cdot3^9\cdot5+3^9\cdot2^{18}\cdot5}{2^{19}\cdot3^9-2^{20}\cdot3^{10}}\)
\(A=\dfrac{2^{18}\cdot3^9\cdot5\cdot\left(2+1\right)}{2^{19}\cdot3^9\cdot\left(1-2\cdot3\right)}\)
\(A=\dfrac{1\cdot1\cdot5\cdot3}{2\cdot1\cdot-5}\)
\(A=-\dfrac{1}{2}\cdot3\)
\(A=-\dfrac{3}{2}\)
\(B>\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+...+\dfrac{1}{2021}-\dfrac{1}{2022}=\dfrac{1}{2}-\dfrac{1}{2022}=\dfrac{505}{1011}>\dfrac{1}{3}\)
=>2/6+2/12+2/20+...+2/x(x+1)=1010/1011
=>2(1/6+1/12+...+1/x(x+1))=1010/1011
=>1/2-1/3+1/3-1/4+...+1/x-1/x+1=505/1011
=>1/x+1=1/2022
=>x+1=2022
=>x=2021