Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
Trả lời:
a) \(4^{10}.8^{15}=\left(2^2\right)^{10}.\left(2^3\right)^{15}\)
\(=2^{20}.2^{45}\)
\(=2^{65}\)
\(a,4^{10}\cdot8^{15}=\left[2^2\right]^{10}\cdot\left[2\cdot2^2\right]^{15}=2^{20}\cdot2^{15}\cdot2^{30}=2^{20+15+30}=2^{65}\)
\(b,\frac{27^{16}}{3^{10}}=\frac{\left[3^3\right]^{16}}{3^{10}}=\frac{3^{48}}{3^{10}}=3^{48-10}=3^{38}\)
\(c,\frac{\left[2^9\cdot16+2^9\cdot34\right]}{2^{10}}=\frac{\left[2^9\left\{16+34\right\}\right]}{2^{10}}=\frac{2^9\cdot50}{2^{10}}=\frac{1}{2}\cdot50=25\)
\(d,\frac{3^4\cdot57-9^2\cdot21}{3^5}=\frac{3^4\cdot57-\left[3^2\right]^2\cdot21}{3^5}=\frac{3^4\cdot57-3^4\cdot21}{3^5}=\frac{3^4\left[57-21\right]}{3^5}=\frac{1}{3}\cdot36=12\)
a, \(\frac{25^{11}.4^{33}}{8^{15}.10^{22}}=\frac{\left(5^2\right)^{11}.\left(2^2\right)^{33}}{\left(2^3\right)^{15}.\left(2.5\right)^{22}}=\frac{5^{22}.2^{66}}{2^{45}.2^{22}.5^{22}}=\frac{5^{22}.2^{66}}{2^{67}.5^{22}}=\frac{1}{2}\)
b,\(\frac{8^4.5^8.9^3}{125^3.4^7.27}=\frac{\left(2^3\right)^4.5^8.\left(3^2\right)^3}{\left(5^3\right)^3.\left(2^2\right)^7.3^3}=\frac{2^{12}.5^8.3^6}{5^9.2^{14}.3^3}=\frac{3^3}{5.2^2}=\frac{27}{20}\)
Bạn làm nốt nhé cũng tương tự thôi !!!!!!!!!
a ) \(4^{10}.8^{15}\)
\(=\left(2^2\right)^{10}.\left(2^3\right)^{15}\)
\(=2^{20}.2^{45}\)
\(=2^{65}\)
a)\(4^{10}.8^{15}=\left(2^2\right)^{10}.\left(2^3\right)^{15}=2^{2.10}.2^{3.15}=2^{20}.2^{45}=2^{65}\)
b)\(4^{15}.5^{30}=4^{15}.5^{2.15}=4^{15}.\left(5^2\right)^{15}=4^{15}.25^{15}=\left(4.25\right)^{15}=100^{15}\)
c)\(27^{16}.9^{10}=\left(3^3\right)^{16}.\left(3^2\right)^{10}=3^{3.16}.3^{2.10}=3^{48}.3^{20}=3^{68}\)
d)\(72^3.54^2=\left(8.9\right)^3.\left(27.2\right)^2=8^3.9^3.27^2.2^2=\left(2^3\right)^3.\left(3^2\right)^3.\left(3^3\right)^2.2^2=2^{3.3}.3^{2.3}.3^{3.2}.2^2\)
\(=2^9.3^6.3^6.2^2=2^{11}.3^{12}\)
P/S : Lớp 6 rồi tập làm quen dấu ''x'' thành dấu ''.'' đi bạn
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)
\(4^{10}\cdot8^{15}=2^{20}\cdot2^{45}=2^{65}\)
b)
\(27^{16}\cdot9^{10}=3^{48}\cdot3^{20}=3^{68}\)
a) 410 . 815 = (22)10 . (23)15 = 220 . 245 = 265
b) 2716 . 910 = (33)16 .(32)10=348 . 320 = 368
c) \(\frac{2^{10}\cdot13+2^{10}\cdot65}{28\cdot104}=\frac{2^{10}\cdot13\cdot\left(1+5\right)}{2^5\cdot7\cdot13}=\frac{2^5\cdot6}{7}=\frac{192}{7}\)
a)410. 815 = (22)10.(23)15
=220.245
=265
b) 415 . 530 = 415 . (52)15
= 415 . 2515
= (4.25)15
= 10015
c) 2716 : 910 = (33)16 : (32)10
=348 : 320
=328
d)A=\(\frac{72^3.54^2}{108^4}\)
TS:723.542=(2.2.2.3.3)3.(2.3.3.3)2
=23.23.23.33.33.22.32.32.32
=23+3+3+2.33+3+2+2+2
=211.312
MS:1084=(2.2.3.3.3)4
=24. 24.34.34.34
=24+4 . 34+4+4
=28 . 312
\(\Rightarrow\)A=\(\frac{2^{11}.3^{12}}{2^8.3^{12}}\) = 23=8
e)B=\(\frac{3^{10}.11+3^{10}.5}{3^9.2^4}\)
TS:310 .11 + 310 .5 = 310 . (11+5)
= 310 . 16
= 310. 24
\(\Rightarrow\)B=\(\frac{3^{10}.2^4}{3^9.2^4}\) = 31=3
1. \(4^{10}.8^{15}=8^5.8^{15}=8^{5+15}=8^{20}\left(=4^{40}\right)\)
2. \(4^{15}.5^{30}=2^{30}.5^{30}=10^{30}\)
3. \(27^{16}:9^{10}=9^{48}:9^{10}=9^{48-10}=9^{38}\)
dễ mà
1.4^10 .8^15=(2^2)^10.(2^3)^15=2^20.2^45=2^65
2.và 3 làm tương tự