\(\frac{5^{32}.10^{43}}{10^{11}.125^{25}}\)
\(\frac{5^{32}.10^{43}}{16^{11}.125^{35}}\)
Xin giúp đỡ
\(\frac{5^{32}.10^{43}}{16^{11}.125^{35}}=\frac{5^{32}.\left(2.5\right)^{43}}{2^4.\left(5^3\right)^{35}}=\frac{5^{32}.2^{43}.5^{43}}{2^4.5^{105}}=\frac{5^{32}.5^{43}.2^{39}.2^4}{2^4.5^{105}}=\frac{5^{75}.2^{39}}{5^{105}}=\frac{5^{75}.2^{39}}{5^{75}.5^{30}}=\frac{2^{39}}{5^{30}}\)
a)\(\left(1-\frac{2}{5}\right)^2+\left|\frac{-3}{5}\right|+\frac{-7}{10}\)
b)\(\frac{6^{15}.9^{10}}{3^{34}.2^{13}}\)
c)\(\frac{\left(-5\right)^{32}.20^{43}}{\left(-8\right)^{29}.125^{25}}\)
a.4^8.4^4
b.5^12 . 7-5^11 . 10
c.2^20 . 15+2^10 . 85
d.27^16 : 9^10
e.125^3 :25^4
f.24^4 : 3^4 - 32^12: 16^12
Mình cần gấp ạ
a) \(4^8\cdot4^4=\left(2^2\right)^8\cdot\left(2^2\right)^4=2^{16}\cdot2^8=2^{16+8}=2^{24}\)
b) \(5^{12}\cdot7-5^{11}\cdot10\)
\(=5^{11}\cdot\left(5\cdot7-10\right)=5^{11}\cdot\left(35-10\right)=5^{11}\cdot25\)
\(=5^{11}\cdot5^2=5^{11+2}=5^{13}\)
d) \(27^{16}:9^{10}\)
\(=\left(3^3\right)^{16}:\left(3^2\right)^{10}=3^{48}:3^{20}=3^{48-20}=3^{28}\)
e) \(125^3:25^4=\left(5^3\right)^3:\left(5^2\right)^4=5^9:5^8=5^{9-8}=5\)
f) \(24^4:3^4-32^{12}:16^{12}\)
\(=\left(24:4\right)^4-\left(32:16\right)^{12}\)
\(=6^4-2^{12}\)
\(=2^4\cdot\left(3^4-2^8\right)=2^4\cdot-175=-2800\)
Tính
a,A = [3 × (-7)^7 -10× (-7)^7] : (-7)^6
b,B= (-11)^9 : [ 5 × (-11)^5 - 16 × (-11)^5
c,C= (-125)×25×(-32)
Thực hiện các phép tính
18^3 : 9^3 125^3 : 25^3 (10^3 + 10^4 + 125^2) : 5^3 24^4 : 3^4 - 32^12 : 16^12
2^15 : 2^13 (2^31 + 2^27) : (2^11 . 2^13) (2^43 + 2^4) : (2^39 + 1) (2^23 + 2^24 + 2^25) : (2^18 + 2^19 + 2^20)
(3^6 . 5^7 . 7^11) : (3^4 . 5^7 . 7^10) (2^7 . 3^4 + 2^9 . 3^5) : (2^6 . 3^3 . 13) (3^12 + 3^11) : 3^10 (4^17 + 4^3) : (4^16 + 4^2)
5^32 × 20^43 / 8^29 × 125^25
5^32 × 20^43 / 8^29 × 125^25
Thực hiện phép tính :
a, ( 11 + 159 ) . 37 + ( 185 - 31 ) : 14
b, [ 25 . 103 + 7225 : 17 - ( 1500 - 125 ) : 5 ] . 32
c, 136 . 25 + 75 . 136 - 6 mũ 2 . 10 mũ 2
Bài 1 . Thực hiện phép tính :
a, ( 11 + 159 ) . 37 + ( 185 - 31 ) : 14
= 170 . 37 + 154 : 14
= 6290 + 11
= 6301
b, [ 25 . 103 + 7225 : 17 - ( 1500 - 125 ) : 5 ] . 32
= [ 25 . 103 + 7225 : 17 - 1375 : 5 ] . 32
= [ 2575 + 425 - 275 ] . 32
= 2725 . 32
= 87200
c, 136 . 25 + 75 . 136 - 62 . 102
= 136 . ( 25 + 75 ) - 36 . 100
= 136 . 100 - 36 . 100
= 100 . ( 136 - 36 )
= 100 . 100
= 10000
a, (11+159).37+(185-31):14 b,[25.103+7225:17-(1500-125):5].32 c, 136.25+75.136 - 62.102
=170.37+154:14 =[2575+425-1375:5].32 =136.(25+75)- (6.10)2
=6290+11 =[2575+425-275].32 =136.100 - 602
=6301 =2725.32 =13600 - 3600
= 87200 =10000
4) 87+(-45)-(-79)
5) (-15)+45-62
6) 120: (-5)+72
7) -147-130: (-13)
8) 125. (-8) : (-25). (-7)
9) 25-18+(-43)
10) -18-3.(-20)
4) 121
5) - 32
6) 48
7) - 137
8) - 280
9) - 36
10) 42
4) 41
5) -32
6) 48
7) -137
8) -280
9) -36
10) 42
Thực hiện phép tính:
Câu 1:
\(\frac{5^4.18^4}{125.9^5.16}\)
Câu 2:
\(\frac{\left(-5\right)^{32}.20^{43}}{\left(-8\right)^{29}.125^{25}}\)
Câu 1:
\(\frac{5^4.18^4}{125.9^5.16}\) = \(\frac{5^4.\left(2.9\right)^4}{5^3.9^5.2^4}\) = \(\frac{5^4.2^4.9^4}{5^3.9^5.2^4}\) = \(\frac{5}{9}\)
Câu 2:
\(\frac{\left(-5\right)^{32}.20^{43}}{\left(-8\right)^{29}.125^{25}}\) = \(\frac{5^{32}.\left(4.5\right)^{43}}{\left(-2.4\right)^{29}.\left(5^3\right)^{25}}\) = \(\frac{5^{32}.4^{43}.5^{43}}{\left(-2\right)^{29}.4^{29}.5^{75}}\) = \(\frac{4^{14}.5^{43}}{\left(-2\right)^{29}.5^{43}}\)
=\(\frac{4^{14}}{\left(-2\right)^{29}}\) = = \(\frac{\left[-2.\left(-2\right)\right]^{14}}{\left(-2\right)^{29}}\) = \(\frac{\left(-2\right)^{14}.\left(-2\right)^{14}}{\left(-2\right)^{29}}\) = \(\frac{\left(-2\right)^{14}}{\left(-2\right)^{15}}\) = \(\frac{-1}{2}\)