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\(4^{10}.8^{13}=2^{20}.2^{39}=2^{59}\)
\(27^{16}:9^{10}=3^{48}:3^{20}=3^{28}\)
\(\left(2^2\right)^{10}.\left(2^3\right)^{13}=2^{20}.2^{39}=2^{20+39}=2^{59}\)
\(\left(3^3\right)^{16}.\left(3^2\right)^{10}=3^{48}.3^{20}=3^{48+20}=3^{68}\)
***** cho mink di mink giai bai con lai
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
\(4^{15}.5^{30}=2^{30}.5^{30}=10^{30}\)
\(27^{16}:9^{10}=3^{48}:3^{20}=3^{28}\)
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
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
415.530 = 230.530 = 1030
6255.257 = 520.514 = 534
2716 : 910 = 348 : 320 = 328
275 : 813 = 315 : 312 = 33
123 - 33 = 33.43 - 33 = 33.(43 - 1) = 33.65
Trả lời:
a) \(4^{10}.8^{15}=\left(2^2\right)^{10}.\left(2^3\right)^{15}\)
\(=2^{20}.2^{45}\)
\(=2^{65}\)
\(a,4^{10}\cdot8^{15}=\left[2^2\right]^{10}\cdot\left[2\cdot2^2\right]^{15}=2^{20}\cdot2^{15}\cdot2^{30}=2^{20+15+30}=2^{65}\)
\(b,\frac{27^{16}}{3^{10}}=\frac{\left[3^3\right]^{16}}{3^{10}}=\frac{3^{48}}{3^{10}}=3^{48-10}=3^{38}\)
\(c,\frac{\left[2^9\cdot16+2^9\cdot34\right]}{2^{10}}=\frac{\left[2^9\left\{16+34\right\}\right]}{2^{10}}=\frac{2^9\cdot50}{2^{10}}=\frac{1}{2}\cdot50=25\)
\(d,\frac{3^4\cdot57-9^2\cdot21}{3^5}=\frac{3^4\cdot57-\left[3^2\right]^2\cdot21}{3^5}=\frac{3^4\cdot57-3^4\cdot21}{3^5}=\frac{3^4\left[57-21\right]}{3^5}=\frac{1}{3}\cdot36=12\)
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