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d. 513:1254
= 513 : ( 53)4
= 513 : 512
= 51
Chúc bạn học tốt!!! Các câu sau tương tự thôi
a ) A = 82 x 324 = ( 23 )2 x ( 25 )4 = 23.2 x 25.4 = 26 x 220 = 226
b ) B = 273 x 94 x 243 = ( 33 )3 x ( 32 )4 x 35 = 33.3 x 32.4 x 35 = 39 x 38 x 35 = 322
c ) C = 643 : 163 = ( 43 )3 : ( 42 )3 = 43.3 : 42.3 = 49 : 46 = 43
d ) D = 513 : 1254 = 513 : ( 53 )4 = 513 : 53.4 = 513 : 512 = 51
a) 2.84 = 2.(23)4 = 2.212 = 213
b) 256 . 1253 = (52)6 . (53)3 = 512.59 = 521
c) 6255 : 257 = (54)5 : (52)7 = 520:514 = 56
d) 123.33 = (12.3)3 = 363
e) 23.84.163 = 23.(23)4.(24)3 = 23.212.212 = 227
f) 643 . 43 : 163 = (43)3 . 43 : (42)3 = 49.43:46 = 412:46 = 46
G) 812 : ( 32 . 27 ) = (34)2 : 32 . 33 = 38 : 32 . 33 = 36.33 = 39
a) 2 . 84=2.(22)4=2.28=21+8=29
b) 256 . 1253=(22)6.(53)3=212.59=212+9=221
c) 6255 : 257=(54)5:(52)7=520:514=520-14=56
d) 123 . 33=(12.3)3=363
e) 23 . 84 . 163=23.(23)4.(24)3=23.212.212=23+12+12=227
f) 643 . 43 : 163=(43)3.43:(42)3=49.43:46=49+3-6=46
g) 812 : ( 32 . 27 )=(34)2:(32.33)=38:32+3=38:35=38-5=33
Bài 4: Viết các tích sau đây dưới dạng 1 lũy thừa của 1 số
A = 82.324 = ( 23 )2 . ( 25 )4 = 26 . 220 = 226
B = 273.94.243 = ( 33 )3 . ( 32 )4 . 35 = 39 . 38 . 35 = 322
C = 410.815 = ( 22 )10 . ( 23 )15 = 220 . 245 = 265
D = 415.530 = ( 22 )15 . 530 = 230 . 530 = ( 2 . 5 )30 = 1030
E = 2716 : 910 = ( 33 )16 . ( 32 )10 = 348 . 320 = 368
F = 25.84 = 25 . ( 23)4 = 25 . 212= 217
g = 256.1253 = ( 52 )6 . ( 53 )3 = 512 . 59 = 521
H = 123.33 = ( 12.3 )3 = 363
a)213
b)521
c)56
d)43
e)227
còn lại tự nghĩ,mệt lắm rùi
Bài 1 :
a/ \(a^3.a^9=a^{3+9}=a^{12}\)
b/\(\left(a^5\right)^7=a^{5.7}=a^{35}\)
c/ \(\left(a^6\right).4.a^{12}=a^{24}.a^{12}.4=a^{24+12}.4=a^{36}.4\)
d/ \(\left(2^3\right)^5.\left(2^3\right)^3=2^{15}.2^9=2^{15+9}=2^{24}\)
e/ \(5^6:5^3+3^3.3^2\)
\(=5^3+3^5=125+243=368\)
i/ \(4.5^2-2.3^2\)
\(=2^2.5^2-2.3^2\)
\(=2^2.25-2^2.14\)
\(=2^2.\left(25-14\right)\)
\(=2^2.11\)
\(=4.11=44\)
a125^5:25^3=(5^3)^5:(5^2)^3=5^15:5^6=5^9
b27^6:9^3=(3^3)^6:(3^2)^3=3^18:3^6=3^13
c 4^20:2^15=(2^2)^20:2^15=2^40:2^15=2^25
d24^n:2^2.n=24^n:(2^2)^n=24^n:4^n=(24:4)^n=6^n
e 64^4 . 16^5:4^20=(2^6)^4 . (2^4)^5 :(2^2)^20=2^24 . 2^20:2^40=2^4
g 32^4:8^6=(2^5)^4:(2^3)^6=2^20:2^18=2^2
a, \(125^5:25^3=\left(5^3\right)^5:\left(5^2\right)^3=5^{15}:5^6=5^9\)
b, \(27^6:9^3=\left(3^3\right)^6:\left(3^2\right)^3=3^{18}:3^6=3^{12}\)
c, \(4^{20}:2^{15}=\left(2^2\right)^{20}:2^{15}=2^{40}:2^{15}=2^{25}\)
d, \(24^n:2^{2.n}=2^n.12^n:2^n.2^n=12^n:2^n=2^n.6^n:2^n=6^n\)
e, \(64^4.16^5:4^{20}=4^{12}.4^{10}:4^{20}=4^{12+10-20}=4^2\)
g, \(32^4:8^6=8^4.4^4:8^4.8^2=4^4:4^2.2^2=4^2.2^2=2^4.2^2=2^6\)
82 x 324 = (23)2 x (25)4 = 26 x 220=226
273 x 94 x243 = 39 x 38x35=322
643 : 163 =218 : 212 = 26
513:1254 = 513 : 512= 5