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a, 410. 230=220.230=250
b,925.274.813= 350.312.312=374
Tương tự các câu khác....
a, 410.230 = (22)10.230 = 220.230 = 250
b, 925.274.813 = (32)25.(33)4.(34)3 = 350.312.312 = 374
c, 2550.1255 = (52)50.(53)5 = 5100.515 = 5115
d, 643.48.164 = (26)3.(22)8.(24)4 = 218.216.216 = 250
e, 38 : 36 = 32
210 : 83 = 210 : (23)3 = 210 : 29 = 2
127 : 67 = (12 : 6)7 = 27
@Dương Tuyết Mai
\(2^5.8^4=2^5.\left(2^3\right)^4=2^5.2^{12}=2^{17}\)
\(25^6.125^3=\left(5^2\right)^6.\left(5^3\right)^3=5^{12}.5^9=5^{21}\)
1- 2x2x2x2x2
2-8x8x8x8
3- 25x25x25x25x25x25
4- 125x125x125
\(9^{12}.27^5.81^4=\left(3^2\right)^{12}.\left(3^3\right)^5.\left(3^4\right)^4\)
\(=3^{24}.3^{15}.3^{16}\)
\(=3^{55}\)
\(64^3.4^5.16^2=\left(4^3\right)^3.4^5.\left(4^2\right)^2=4^{18}\)
\(25^{20}.125^4=\left(5^2\right)^{20}.\left(5^3\right)^4=5^{52}\)
\(x^7.x^4.x^3=x^{14}\)
\(3^6.4^6=\left(3.4\right)^6=12^6\)
\(8^4.2^3.16^2=\left(2^3\right)^4.2^3.\left(2^4\right)^2=2^{23}\)
\(2^3.2^2.\left(2^3\right)^3=2^{14}\)
1.
a, 5.125.625
= 5.53.54
= 51+3+4 = 58
b, 10.100.1000 = 10.102.103 = 106
\(c,8^4.16^5.32=\left(2^3\right)^4.\left(2^4\right)^5.2^5=2^{12}.2^{20}.2^5=2^{37}\)
\(d,27^4.81^{10}=\left(3^3\right)^4.\left(3^4\right)^{10}=3^{12}.3^{40}=3^{52}\)
2,
a, \(12^7:6^7=\left(12:6\right)^7=2^7\)
\(b,27^5:81^3=\left(3^3\right)^5:\left(3^4\right)^3=3^{15}:3^{12}=3^{15-12}=3^3\)
\(c,18^3:9^3=\left(18:9\right)^3=2^3\)
\(d,125^3:2=\frac{125^3}{2}\)
Phần d bài 2 nó kiểu gì ý
57 :
a , 5 . 25 . 125 = 5 . 52 . 53 = 51+2+3 = 56
b , 10 . 100 . 1000 = 10 . 102 . 103 = 101+2+3 = 106
c , 84 . 165 . 32 = ( 23 )4 . ( 24 )5 . 25 = 212 . 220 . 25 = 212+20+5 = 237
d , 274 . 8110 = ( 33 )4 . ( 34 )10 = 312 . 340 = 312+40 = 352
62 : a , 127 : 67 = ( 6 . 2 )7 : 67 = 67 . 27 : 67 = 67 : 67 . 27 = 1 . 27 = 27 = 128
b , 275 : 813 = ( 33 )5 : ( 34 )3 = 315 : 312 = 315-12 = 33 = 27
c , 183 : 93 = ( 2 . 9 )3 : 93 = 23 . 93 : 93 = 23 . 1 = 23 = 8
d , 1253 : 2 = ( 53 )3 : 2 = 59 : 2 = 1953125 : 2 = 976562,5
a) 3/7 + 4/9 + 4/7 + 5/9
= ( 3/7 + 4/7 ) + ( 4/9 + 5/9 )
= 7/7 + 9/9
= 1 + 1
= 2
b)1/5 + 4/10 + 9/15 + 16/20 + 25/25 + 36/30 + 49/35 + 64/40 + 81/45
= 1/5 + 2/5 + 3/5 + 4/5 + 5/5 + 6/5 + 7/5 + 8/5 + 9/5
= ( 1/5 + 9/5 ) + ( 2/5 + 8/5 ) + (7/5 + 3/5 ) + ( 4/5 + 6/5 ) + 5/5
= 2 + 2 + 2 + 2 + 1
= 2 x 4 + 1
= 8 +1
= 9
c) 1/8 + 1/12 + 3/8 + 5/12
= ( 1/8 + 3/8 ) + ( 1/12 + 5/12)
= 4/8 + 6/12
= 1/2 + 1/2
= 2/4 = 1/2
mỏi tay rồi
d; (1 - \(\dfrac{1}{2}\)) x (1 - \(\dfrac{1}{3}\)) x (1 - \(\dfrac{1}{4}\)) x ... x ( 1 - \(\dfrac{1}{100}\))
= \(\dfrac{1}{2}\) x \(\dfrac{2}{3}\) x \(\dfrac{3}{4}\) x \(\dfrac{3}{4}\) x ... x \(\dfrac{99}{100}\)
= \(\dfrac{1}{100}\)
a) \(4^{10}.2^{30}=\left(2^2\right)^{10}.2^{30}=2^{2.10}.2^{30}=2^{20}.2^{30}=2^{20+30}=2^{50}\)
b) \(9^{25}.27^4.81^3=\left(3^2\right)^{25}.\left(3^3\right)^4.\left(3^4\right)^3=3^{3.25}.3^{3.4}.3^{4.3}=3^{75}.3^{12}.3^{12}=3^{75+12+12}=3^{99}\)
c) \(25^{50}.125^5=\left(5^2\right)^{50}.\left(5^3\right)^5=5^{2.50}.5^{3.5}=5^{100}.5^{15}=5^{100+15}=5^{115}\)
d) \(64^3.4^8.16^4=\left(4^3\right)^3.4^8.\left(4^2\right)^4=4^{3.3}.4^8.4^{2.4}=4^9.4^8.4^8=4^{9+8+8}=4^{25}\)
e) \(3^8:3^6=3^{8-6}=3^2\)
f) \(2^{10}:8^3=2^{10}:\left(2^3\right)^3=2^{10}:2^{3.3}=2^{10}:2^9=2^{10-9}=2\)
g) \(12^7:6^7=\left(12:6\right)^7=2^7\)
h_ \(21^5:81^3\)kết quả là số dư nên không tính ( đề sai )
Tính :
a, 3^8 : 3^6 ; 2^10 : 8^3 ; 12^7 : 6^7 ; 21^5 : 81^3
b, 5^8 : 25^2 ; 4^9 : 64^2 ; 2^25 : 32^4
a) 38 : 36 = 32;
210 : 83 = 210 : 29 = 2;
127 : 67 = 214. 37 : 27. 37 = (214 : 27). (37 : 37) = 27;
215 : 813 = 35. 75 : 312 = 3-7. 75;
b) 58 : 252 = 58 : 54 = 54;
49 : 642 = 218 : 212 = 26;
225 : 324 = 225 : 220 = 25
Thấy đúng thì cho mình đúng nha!!! Cảm ơn các bạn!!!
Bài 1: Tính
a) 38 : 36 b) 210 : 83 c) 127 : 67 d) 215 : 813 e) 58 : 252 g) 49 : 642 h) 225 : 324
= 6561: 729 = 1024: 512 = 35831808 : 279936 = 4084101:531441 = 390625 : 625 = 262144: 4096 = 33554432: 1048576
= 9 = 2 = 128 = 7. 684956561 = 625 = 64 = 32
= 7,68