Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
\(8^4.16^5=2^{12}.2^{20}=2^{32}\)
\(5^{40}.125^5.25^3=5^{40}.5^{15}.5^6=5^{61}\)
\(27^4.81^{10}=3^{12}.3^{40}=3^{52}\)
\(10^3.100^5.1000^4=10^3.10^{10}.10^{12}=10^{25}\)
\(8^4\cdot16^5=\left(2^3\right)^4\cdot\left(2^4\right)^5=2^{12}\cdot2^{20}=2^{32}\)
\(5^{40}\cdot125^2\cdot25^3=5^{40}\cdot\left(5^3\right)^2\cdot\left(5^2\right)^3=5^{40}\cdot5^6\cdot5^6=5^{52}\)
\(27^4\cdot81^{10}=\left(3^3\right)^4\cdot\left(3^4\right)^{10}=3^{12}\cdot3^{40}=3^{52}\)
\(10^3\cdot100^5\cdot1000^4=10^3\cdot\left(10^2\right)^5\cdot\left(10^3\right)^4=10^3\cdot10^{10}\cdot10^{12}=10^{25}\)
1)Đưa về lũy thừa cùng cơ số 2
82= \(\left(2^3\right)^2=2^6\) 323= \(\left(2^5\right)^3=2^{15}\) 644= \(\left(2^6\right)^4=2^{24}\) 43= \(\left(2^2\right)^{^3}=2^6\)
2)Đưa về lũy thừa cùng cơ số 3
93= \(\left(3^2\right)^3=3^6\) 274= \(\left(3^3\right)^4=3^{12}\) 95= \(\left(3^2\right)^5=3^{10}\) 816= \(\left(3^4\right)^6=3^{24}\)
3)Đưa về lũy thừa cùng cơ số 2
83:42= \(\left(2^3\right)^3:\left(2^2\right)^2=2^9:2^4=2^5\) 162:32= \(\left(2^4\right)^2:2^5=2^8:2^5=2^3\)
\(64^4:4^3=\left(2^6\right)^4:\left(2^2\right)^3=2^{24}:2^6=2^{18}\) 323:82= \(\left(2^5\right)^3:\left(2^3\right)^2=2^{15}:2^6=2^9\)
\(A.4^{10}.2^{30}=\left(2^2\right)^{10}.2^{30}=2^{20}.2^{30}=2^{50}\)
\(B.9^{25}.27^4.81^3=\left(3^2\right)^{25}.\left(3^3\right)^4.\left(3^4\right)^3=3^{50}.3^{12}.3^{12}=3^{74}\)
\(C.25^{50}.125^5=\left(5^2\right)^{50}.\left(5^3\right)^5=5^{100}.5^{15}=5^{115}\)
\(D.64^3.4^8.16^4=\left(2^6\right)^3.\left(2^2\right)^8.\left(2^4\right)^4=2^{18}.2^{16}.2^{16}=2^{50}\)
(32)25.(33)4.(34)3=350.312.312=374
(52)50.(53)5=5115
(416)3.48.(42)4=
a 350 x312 x 312 = 374
b 5100 x 515 =5115
c 49 x 48 x 48 = 425
a) \(\left(x-6\right)^3=\left(x-6\right)^2\Leftrightarrow\orbr{\begin{cases}x-6=1\Leftrightarrow x=7\\x-6=0\Leftrightarrow x=6\end{cases}}\)
b) \(\left(7.x-11\right)^3=2^5.5^2+200\)
\(\Leftrightarrow\left(7.x-11\right)^3=800+200\)
\(\Leftrightarrow\left(7.x-11\right)^3=1000\)
\(\Leftrightarrow\left(7.x-11\right)^3=10^3\)
\(\Leftrightarrow7x-11=10\Leftrightarrow7x=21\Leftrightarrow x=3\)
c) \(3+2^{x-1}=24-\left[4^2-\left(2^2-1\right)\right]\)
\(\Leftrightarrow3+2^{x-1}=24-\left[4^2-3\right]\)
\(\Leftrightarrow3+2^{x-1}=24-13\)
\(\Leftrightarrow3+2^{x-1}=11\)
\(\Leftrightarrow2^{x-1}=8\Leftrightarrow2^{x-1}=2^3\Leftrightarrow x-1=3\Leftrightarrow x=4\)
a)\(3^x.3=243\Leftrightarrow3^x=81\Leftrightarrow3^x=3^4\Leftrightarrow x=4\)
b) \(2^x.16^2=1024\Leftrightarrow2^x.256=1024\Leftrightarrow2^x=4\Leftrightarrow2^x=2^2\Leftrightarrow x=2\)
c) \(64:4^x=16^8\Leftrightarrow4^x=67108864\Leftrightarrow4^x=4^{13}\Leftrightarrow x=13\)
d) \(2^x=16\Leftrightarrow2^x=2^4\Leftrightarrow x=4\)
a) A=8^2.32^4=(2^3)^2.(2^5)^4=2^6.2^20=2^26
b)B=27^3.9^4.243=(3^3)^3.(3^2)^4.3^5=3^9.3^8.3^5=3^22
HOK TỐT
a) A = 82 . 324 = (23)2 . ( 25)4 = 26 . 220 = 226
vậy A = 226
b) B = 273 . 94 . 243 = (33)3 . (32)4 . 35= 39 . 38 . 35 = 322
vậy B = 322
chúc bạn hok tốt
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 )
a)410.230
Ta có: 410 và 230=415
Vậy 410 . 415 = 225
b)925.274.813
Ta có: 925=(32)25=350 và 274=(33)4=312 và 813=(34)3=312
Vậy 350 + 312 + 312 = 374 hoặc 937
c)2550.1255
Ta có:2550 = 12510 và 1255
Vậy: 12510.1255=12515
d)643.48.164
Ta có: 643=49 và 48 và 164=48
Vậy: 49.48.48=425
cám ơn bn nhìu