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Bài 1:
a) (2^9 . 3 + 2^9 . 5) : 2^12
= [2^9 . (3 + 5)] : 2^12
= [2^9 . 8] : 2^12
= [2^9 . 2^3] : 2^12
= 2^12 : 2^12
= 1
b) 13^2 - (5^2 . 4 + 2^2 . 15)
= 13^2 - (5^2 . 4 + 4 . 15)
= 13^2 - [4 . (5^2 + 15)]
= 13^2 - [4 . (25 + 15)]
= 13^2 - [4 . 40]
= 13^2 - 160
= 13^2 - 40^2
= -27^2
= 729
Bài 2:
a) 30 . (2^2 . 15 - x) = 30
2^2 . 15 - x = 30 : 30
2^2 . 15 - x = 1
4 . 15 = 1 + x
60 = 1 + x
=> x = 60 - 1
x = 59
Bài 2:
b) 2^4 . 38 - 2^4 . x = 16
16 . (38 - x) = 16
38 - x = 16 : 16
38 - x = 1
x = 38 - 1
x = 37
c) (7 . x - 11^3) = 2^5 . 5^2 + 200
(7 . x - 11^3) = 2^5 . 5^2 + 5^2 . 2^3
(7 . x - 11^3) = 5^2 . (2^5 + 2^3)
(7 . x - 11^3) = 25 . 40
(7 . x - 1331) = 1000
7 . x = 1000 + 1331
7 . x = 2331
x = 2331 : 7
x = 333.
Ta có : \(4^{15}.5^{30}=4^{15}.5^{2.15}=4^{15}.\left(5^2\right)^{15}\)
\(=4^{15}.25^{15}=\left(4.25\right)^{15}=100^{15}\)
\(27^{16}:9^{10}=\left(3^3\right)^{16}:\left(3^2\right)^{10}\)
\(=3^{48}:3^{20}=3^{48-20}=3^{28}\)
415 . 530
= (22)15 . 530
= 230 . 530
= ( 2.5 )30
= 1030
2716 : 910
= (33)16 : (32)10
= 348 : 320
= 328
~Hok tốt~
k mik nha
a. \(4^{10}.8^{15}=\left(2^2\right)^{10}.\left(2^3\right)^{15}=\)\(2^{20}.2^{45}=2^{20+45}=2^{65}\)
b.\(4^{15}.5^{30}=4^{15}.\left(5^2\right)^{15}=4^{15}.\)\(25^{15}=\left(4.25\right)^{15}=100^{15}\)
c.\(27^{15}:9^{10}=\left(3^3\right)^{15}:\left(3^2\right)^{10}=3^{45}:3^{20}\)\(=3^{45-20}=3^{25}\)
Tính :
a) 410 . 815 = ( 22 )10 . ( 23 )15 = 220 . 245 = 220 + 45 = 265
b) 415 . 530 = ( 22 )15 . 530 = 230 . 530 = ( 2.5 )30 = 1030
c) 2716 : 910 = ( 33 )16 : ( 32 )10 = 348 : 320 = 348 - 20 = 328
\(4^{15}.5^{30}=\left(2^2\right)^{15}.5^{30}=2^{30}.5^{30}=10^{30}\)
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
\(4^{15}.5^{30}=2^{30}.5^{30}=10^{30}\)
\(27^{16}:9^{10}=3^{48}:3^{20}=3^{28}\)
a) 415 x 530 = 415 x ( 52 )15
= 415 x 2515
= ( 4 x25 )15
= 10015
b) 2716 : 910 = ( 33)16 : (32)10
= 348 : 320
= 328
\(4^{10}.8^{13}=2^{20}.2^{39}=2^{59}\)
\(27^{16}:9^{10}=3^{48}:3^{20}=3^{28}\)
\(\left(2^2\right)^{10}.\left(2^3\right)^{13}=2^{20}.2^{39}=2^{20+39}=2^{59}\)
\(\left(3^3\right)^{16}.\left(3^2\right)^{10}=3^{48}.3^{20}=3^{48+20}=3^{68}\)
***** cho mink di mink giai bai con lai
\(4^{15}.5^{30}=\left(2^2\right)^{15}.5^{30}=2^{30}.5^{30}=10^{30}\)
\(4^{15}.5^{30}=4^{15}.\left(5^2\right)^{15}=4^{15}.25^{15}=\left(4.25\right)^{15}=100^{15}\)