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36 x 12 + 36 x 45 + 36 x 33
= 36 x (12 + 45 + 33)
= 36 x 90
= 3240
b) 78 x 31 + 78 x 24 + 78 x 17 + 22 x 72
=78 x (31 + 24 + 17) + 22 x 72
= 78 x 72 + 22 x 72
= (78 + 22) x 72
= 100 x 72
= 7200
c) ( 34 - 17 )2 - 23 x 32
\(=17^2-8.9\)
\(=289-72\)
\(=217\)
a) \(53.\left(-15\right)+\left(-15\right).47=\left(-15\right).\left(53+47\right)=\left(-15\right).100=-1500\)
b) \(\left(-43\right).92-46.27+46.41=\left(-86\right).46-46.27+46.41\)
\(=46\left[\left(-86\right)-27+41\right]=46.\left(-72\right)=-3312\)
c) \(\left(-72\right)\left(15-49\right)+15\left(-56+72\right)=\left(-72\right).15-72.49+15.\left(-56\right)+15.72\)
\(=\left[\left(-72\right).15+15.72\right]-72.49-15.56=0-3528-840=4368\)
d) \(\left(-2^4\right).17.\left(-3\right)^0.\left(-5\right)^6\left(-1^{2n}\right)=16.17.1.12625.\left(-1^{2n}\right)\)
a,\(53.\left(-15\right)+\left(-15\right).47\)
\(=-15.\left(53+47\right)=-15.100=-1500\)
\(b,-43.92-46.27+46.41\)
\(=-43.92-\left[46.\left(27-41\right)\right]=-43.92-\left[46.\left(-14\right)\right]\)
\(=-3956+644=-3312\)
\(c,-72\left(15-49\right)+15\left(-56+72\right)\)
\(=-15.72+49.72+15.\left(-56\right)+15.72\)
\(=72.\left(-15+49+15\right)-15.56=3528-840=2688\)
a) 53.(-15)+(-15).47
=53.[(-15)+(-15)].47
=53.(-30).47
=-1590.47
=-74730
A) Ta có: 28 x ( 231 + 69) + 72 x ( 231 + 69)
= ( 28 + 72 ) x ( 231 + 69)
= 100 x 300
= 30 000
b) 2017 - { 52 x 22 - 11 [ 72 - 5 x 23 + 8 x (112 - 121) ] }
= 2017 - { 100 - 11 [ 49 - 40 + 8 x 0 ] }
= 2017 - { 100 - 1 [ 9 + 0 ]
= 2017 - { 100 - 1 x 9 }
= 2017 - { 99 x 9 }
= 2017 - 891
= 1126
c) 10 - { [ ( x : 3 + 17) : 10 + 2 x 24 ] : 10 } = 5
=> { [( x : 3 + 17 ) : 10 + 2 x 16 ] : 10 } = 10 - 5 = 5
=> [ ( x : 3 + 17) : 19 + 32 ] = 5 x 10 = 50
=> ( x : 3 + 17 ) : 19 = 50 - 32 = 18
=> x : 3 + 17 = 18 x 19 = 342
=> x : 3 = 342 - 17 = 325
=> x = 325 x 3
=> x = 975
Vậy x = 975
a) 89 + 79 + 72 : 2
= 89 + 79 + 36
= 168 + 36
= 204
b) 52 . 24 - 73
= 25 . 16 - 343
= 400 - 343
= 57
\(75-\left(3.5^2-4.2^3\right)\)
\(=75-3.25+4.8\)
\(=75-75+32\)
\(=32\)
\(72:\left[32+\left(100-2^2.17\right):8\right]\)
\(=72:\left[32+\left(100-4.17\right):8\right]\)
\(=72:\left[32+\left(100-68\right):8\right]\)
\(=72:\left(32+32:8\right)\)
\(=72:\left(32+4\right)\)
\(=72:36\)
\(=2\)
a. Ta có: \(5^{36}=\left(5^3\right)^{12}=125^{12}\)
\(11^{24}=\left(11^2\right)^{12}=121^{12}\)
\(Do\)\(125^{12}>121^{12}\Rightarrow5^{36}>11^{24}\)
b) Ta có; \(6.5^{22}>5.5^{22}=5^{23}\)
a, \(A=\dfrac{3^{10}.11+3^{10}.5}{3^9.2^4}=\dfrac{3^{10}.\left(11+5\right)}{3^9.2^4}\)
\(=\dfrac{3^{10}.2^4}{3^9.2^4}=3\)
b, \(B=\dfrac{2^{10}.13+2^{10}.65}{2^8.104}=\dfrac{2^{10}.78}{2^8.104}\)
\(=\dfrac{2^2.3}{4}=3\)
c, \(C=\dfrac{4^9.36+64^4}{16^4.100}=\dfrac{\left(2^2\right)^9.36+\left(2^6\right)^4}{\left(2^4\right)^4.100}\)
\(=\dfrac{2^{18}.36+2^{24}}{2^{16}.100}=\dfrac{2^{18}.\left(36+2^6\right)}{2^{16}.100}\)
\(=\dfrac{2^4.100}{100}=2^4=16\)
Câu d làm tương tự! Chúc bạn học tốt!!!
a) -72.17+72.31 - 36 . 228
= -72.17 + 72. 31 - 36.2.114
= -72 .17 + 72 . 31 -72 . 114
= -72. ( 17-31+114)
= -72 . 100
= -7200
b) ..........
= -7 . ( 16-36.9) -(-125)
= -7 . ( 16-324) +125
=-7 . ( -308) +125
= 2156+125
= 2281
a)
�)−72.17+72.31−36.228-72.17+72.31-36.228
=−72.17+72.31−36.2.114=-72.17+72.31-36.2.114
=−72.17+72.31−72.114=-72.17+72.31-72.114
=72(31−17−114)=72(31-17-114)
=72.(−100)=−7200=72.(-100)=-7200
b)�)−7.[(−2)4+(−36):(−32)]−(−5)3-7.[(-2)4+(-36):(-32)]-(-5)3
=−7.[16−36:(−9)]+125=-7.[16-36:(-9)]+125
=−7.[16−−4]+125=-7.[16--4]+125
=−7.20+125=-7.20+125
=−140+125=-140+125
=−15=-15
c)�)(57−725)−(605−53)(57-725)-(605-53)
=57−725−605+53=57-725-605+53
=(57+53)−120=(57+53)-120
=110−120=−10