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a) \(4.5^2-81:3^2=4.25-81:9=100-9=91\)
b) \(3^3.23-3^3.19=3^3.\left(23-19\right)=27.4=108\)
c) \(2^4.5-[131-\left(13-4\right)^2]=16.5-\left(131-9^2\right)=80-\left(131-81\right)=80-50=30\)
d) \(100:\left\{250:\left[450-\left(4.5^3-2^2.25\right)\right]\right\}\)
\(=100:\left\{250:\left[450-4.\left(125-25\right)\right]\right\}\)
\(=100:\left[250:\left(450-4.100\right)\right]\)
\(=100:\left[250:\left(450-400\right)\right]=100:\left(250:50\right)=100:5=20\)
a) Đề:........
= 18. (73 + 15 + 12)
= 18. 100
= 18000
b) Đề nên sửa 23 thành 25
= 100 : { 250 : [ 450 - (4. 125 - 4.25)]}
= 100 : { 250 : [ 450 - (500 - 100)]}
= 100 : { 250 : [ 450 - 400 ]}
= 100 : { 250 : 50 }
= 100 : 5
= 20
a) 18.73+15.18+12.18
=18.(73+15+12)
=18.100
=1800
b) (37+63):{250:[450-(4.53-22.23)]}
=(37+63):{250:[450-(22.53-22.23)]}
=100:{250:[450-22.(53-23)]}
=100:{250:[450-22.102]}
=100:{250:[450-408]}
=100:{250:42}
=100:\(\frac{125}{21}\)
=\(\frac{84}{5}\)
100:{250:[450-(4.53-22.25)}]
=100:{250:[450-(500-100)]}
=100:{250:[450-400]}
=100:{250:50}
=100:5
=20
100:{250:[450-(4.5^3-2^2.25)]}
=100:{250:[450-(4.125-4.25)]}
=100:{250:[450-(500-100)]}
=100:{250:[450-400]}
=100:{250:50}
=100:5
=20
~Chúc học tốt!~
\(100:\left\{250:\left[450-\left(4.5^3-2^2.25\right)\right]\right\}\)
= \(100:\left\{250:\left[450-\left(2^2.5^3-2^2.5^2\right)\right]\right\}\)
= \(100:\left\{250:\left[450-2^2.5^2\left(5-1\right)\right]\right\}\)
= \(100:\left[250:\left(450-100.4\right)\right]\)
=\(100:\left(250:50\right)\)
= \(100:5\)
= \(20\)
\(100:\left\{250:\left[450-\left(4.5^3-2^5.25\right)\right]\right\}\)
\(=100:\left\{250:\left[450-\left(500-800\right)\right]\right\}\)
\(=100:\left\{250:\left[450+300\right]\right\}\)
\(=100:\left\{250:700\right\}\)
\(=100:\frac{5}{14}\)
\(=280\)
100:{250:[450 - ( 4 . 125 - 4.25 )]}
100: { 250: [ 450 - ( 500 - 100 ) ]}
100: {250:[ 450 - 400]
100: { 250 : 50 }
100: 5 = 20
Đặt \(A=2^0+2^1+..+2^{100}\)
\(\Rightarrow2A=2^1+2^2+..+2^{101}\)
lấy hiệu hai phương trình ta có
\(A=2^{101}-2^0=2^{101}-1\)
.\(B=5^1+5^2+..+5^{200}\)
\(\Rightarrow5B=5^2+5^3+..+5^{201}\)
Lấy hiệu hai phương trình ta có :
\(4B=5^{201}-5\Rightarrow B=\frac{5^{201}-5}{4}\)
a) 5 + ( -12 ) - 10
= -7 - 10
= -17
b) 25 - ( -17 ) + 24 - 12
= 25 + 17 + 24 - 12
= 42 + 24 - 12
= 66 - 12
= 54
c) 56 : 54 + 23 . 22 - 225 : 152
= 56 - 4 + 23 + 2 - 32 . 52 : 152
= 52 + 25 - 152 : 152
= 25 + 32 - 1
= 57 - 1
= 56
d) ( -5 - 3 ) . ( 3 - 5 ) : ( -3 + 5 )
= ( -8 ) . ( -2 ) : 2
= -8 . [ ( -2 ) : 2 ]
= -8 . ( -1 )
= 8
a) 5 + ( -12) - 10
= 5 - 12 -10
= -17
b) 25 - ( -17) + 24 - 12
= 25 + 17 + 24 - 12
= 42 + 24 - 12
= ( 42 - 12) + 24
= 30 + 24 = 54
c) 56 : 54 + 23 . 22 - 225 : 152
= 52 + 25 - 1
= 25 + 32 - 1
= 56
d) ( - 5 - 3) . ( 3 - 5) : ( -3 + 5)
= ( -8) . ( -2) : 2
= 16 : 2
= 8
4 . 52 - 32 . 24
= 22 . 52 - 23 . 22 . 24
= ( 2 . 5 )2 - 23+2+4
= 102 - 29
= -412
a) 5 . 42 – 18 : 32 = 5 . 16 - 18 : 9 = 80 - 2 = 78;
b. 33 . 18 – 33 . 12 = 33 (18 - 12) = 27 . 6 = 162;
c) 39 . 213 + 87 . 39 = 39 . (213 + 87) = 39 . 300 = 11700;
d) 80 – [130 – (12 – 4)2] = 80 - (130 - 82) = 80 - (130 - 64) = 80 - 66 = 14.
a,5*4^2-18:3^2
=5*16-18:9
=80-2
=78
b, 3^3*18-3^3*12
=27*18-27*12
=27(18-12)
=27*6
=162
c,39*213+87*39
=39(213+87)
=39*300
=11700
d,80-[130-(12-4)^2]
=80-(130-8^2)
=80-(130-64)
=80-66
=14