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\(A=\frac{3469-54}{6938-108}\)
\(=\frac{3415}{6830}\)
\(=\frac{3415}{6830}=\frac{3415:3415}{6830:3415}=\frac{1}{2}=\frac{3}{6}\)
\(B=\frac{2468-89}{3720-147}\)
\(=\frac{2370}{3555}\)
\(=\frac{2370}{3555}=\frac{2370:1185}{3555:1185}=\frac{2}{3}=\frac{4}{6}\)
a. 410 . 8 15 = (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 = 368
a: \(=\dfrac{2}{15}-\dfrac{2}{15}\cdot5+\dfrac{3}{15}=\dfrac{2-10+3}{15}=\dfrac{-5}{15}=\dfrac{-1}{3}\)
b: \(=\left(6+\dfrac{1}{8}-\dfrac{1}{2}\right)\cdot4=\dfrac{48+1-4}{8}\cdot4=\dfrac{45}{2}\)
c: \(=\dfrac{1}{4}\cdot4-2\cdot\dfrac{1}{4}=1-\dfrac{1}{2}=\dfrac{1}{2}\)
d: \(F=2\left(\dfrac{2}{2\cdot4}+\dfrac{2}{4\cdot6}+...+\dfrac{2}{2008\cdot2010}\right)\)
\(=2\left(\dfrac{1}{2}-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{6}+...+\dfrac{1}{2008}-\dfrac{1}{2010}\right)\)
\(=2\cdot\dfrac{1004}{2010}=\dfrac{1004}{1005}\)
1. 2^36.2^45=2^81
2. 2^30.5^30=10^30
\(4^{18}.8^{15}=\left(2^2\right)^{18}.\left(2^3\right)^{15}\)
\(=2^{36}.2^{45}\)
\(=2^{81}\)
\(4^{15}.5^{30}=\left(2^2\right)^{15}.5^{30}\)
\(=2^{30}.5^{30}\)
\(=\left(2.5\right)^{30}\)
\(=10^{30}\)
\(\frac{3.72^2.54^2}{108^4}=\frac{3.\left(3^2.2^3\right)^2.\left(3^3.2\right)^2}{\left(3^3.2^2\right)^4}\)
\(=\frac{3.3^4.2^6.3^6.2^2}{3^{12}.2^8}\)
\(=\frac{3^{11}.2^8}{3^{12}.2^8}\)
\(=\frac{1}{3}\)
1) \(4^{18}.8^{15}=\left(2^2\right)^{10}.\left(2^3\right)^{15}=2^{20}.2^{45}=2^{65}\)
2) \(4^{15}.5^{30}=\left(2^2\right)^{15}.5^{30}=2^{30}.5^{30}=10^{30}\)
3) \(\frac{72^3.54^2}{108^4}=\frac{\left(2^3.3^2\right)^3.\left(2.3^3\right)^2}{\left(2^2.3^3\right)^4}=\frac{\left(2^3\right)^3.\left(3^2\right)^3.2^2.\left(3^3\right)^2}{\left(2^2\right)^4.\left(3^3\right)^4}\)
\(=\frac{2^9.3^6.2^2.3^6}{2^8.3^{12}}=\frac{2^{11}.3^{12}}{2^8.3^{12}}=2^3=8\)
1, \(4^{18}.8^{15}\)
\(=\left(2^2\right)^{10}.\left(2^3\right)^{15}\)
\(=2^{20}.2^{45}\)
\(=2^{65}\)
3, (9.8)^3.(9.6)^2/ (9.12)^4
= 9^3.(2^3)^3.9^2.6^2/ 9^4.12^4
= 9^5.2^9.2^2.3^2/ 9^4.(3.2^2)^4
=9^5.2^11.3^2/ 9^4.3^4.2^8
=3^2.2^3/ 3^2
=2^3=8
hoàng lan sai rồi thử lấy máy tính tính lại xem nhá
2, \(4^{15}.5^{30}\)
\(=\left(2^2\right)^{15}.5^{30}\)
\(=2^{30}.5^{30}\)
\(=10^{30}\)
Nhìn nhấm ý 3
nhìn bài tôi lóa hết cả mắt
a. 418 . 815
= (22)18 . (23)15
= 236 . 245
= 281
b. 415 . 530
= (22)15 . 530
= 230 . 530
= 1030
c. 723 . \(\frac{54^2}{108^4}\)
= (23 . 32)3 . \(\frac{\left(2.3^3\right)^2}{\left(2^2.3^3\right)^4}\)
= 29. 36. \(\frac{1}{2^6.3^6}\)
= 23
\(1;4^{18}\cdot8^{15}\)
\(=\left(2^2\right)^{18}\cdot\left(2^3\right)^{15}\)
\(=2^{36}\cdot2^{45}\)
\(=2^{81}\)
\(2;4^{15}\cdot5^{30}\)
\(=\left(2^2\right)^{15}\cdot5^{30}\)
\(=2^{30}\cdot5^{30}\)
\(=10^{30}\)
\(2,4^{15}.5^{30}\)
\(=\left(2^2\right)^{15}.5^{30}\)
\(=2^{30}.5^{30}\)
\(=10^{30}\)
A)418.815=(22)18.(23)15=236.245=281
B)415.530=415.(52)15=(4+52)15=2915
C)723.542/1084=(32.23)3.(33.2)2/(33.22)4=36.29.36.22/312.28=39+6-12.29+2-8=33.23=(3.2)3=63
Sửa B)=(4.52)15=10015=1030