HL
2
K
Khách
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CC
0
7 tháng 7 2016
A=\(\frac{72^3.54^2}{108^4}=\frac{\left(2^3.3^2\right)^3.\left(2.3^3\right)^2}{\left(2^2.3^3\right)^4}=\frac{2^9.3^6.2^2.3^6}{2^8.3^{12}}=\frac{2^{11}.3^{12}}{2^8.3^{12}}=2^3=8\)
B= \(\frac{4^6.3^4.9^5}{6^{12}}=\frac{2^{12}.3^4.3^{10}}{2^{12}.3^{12}}=\frac{2^{12}.3^{14}}{2^{12}.3^{12}}=3^2=9\)
c) \(\frac{2^{13}+2^5}{2^{10}+2^2}=\frac{2^5\left(2^8+1\right)}{2^2\left(2^8+1\right)}=2^3=8\)
PA
7 tháng 7 2016
1.
\(\frac{72^3\times54^2}{108^4}=\frac{\left(8\times9\right)^3\times\left(27\times2\right)^2}{\left(27\times4\right)^4}=\frac{\left(2^3\times3^2\right)^3\times\left(3^3\times2\right)^2}{\left(3^3\times2^2\right)^4}=\frac{\left(2^3\right)^3\times\left(3^2\right)^3\times\left(3^3\right)^2\times2^2}{\left(3^3\right)^4\times\left(2^2\right)^4}=\frac{2^9\times3^6\times3^6\times2^2}{3^{12}\times2^8}=2^3=8\)
2.
\(\frac{4^6\times3^4\times9^5}{6^{12}}=\frac{\left(2^2\right)^6\times3^4\times\left(3^2\right)^5}{\left(2\times3\right)^{12}}=\frac{2^{12}\times3^4\times3^{10}}{2^{12}\times3^{12}}=3^2=9\)
3.
\(\frac{2^{13}+2^5}{2^{10}+2^2}=\frac{2^5\times\left(2^8+1\right)}{2^2\times\left(2^8+1\right)}=2^3=8\)
DT
1
KL
5 tháng 8 2017
a, \(\dfrac{3^8}{3^4}+2^2.2^3\)
= 34 + 25
= 113
b, 3.42 - 2.32
= 3.(42 - 2.3)
= 3.(16 - 6)
= 3.10
= 30
c, \(\dfrac{4^6.3^4.9^5}{6^{12}}\)
= \(\dfrac{\left(2^2\right)^6.3^4.\left(3^2\right)^5}{\left(2.3\right)^{12}}\)
= \(\dfrac{2^{12}.3^4.3^{10}}{2^{12}.3^{12}}\)
= \(\dfrac{3^{14}}{3^{12}}\)
= 32
@Dương Tuyết Mai
30 tháng 8 2017
a.3^8:3^4+2^2.2^3
=3^4+2^5
=81+32
=113
b.2^8+4.135+175:25
=256+540+7
=256+547
=803
mấy bài kia bn cứ làm như thế nha!
mik biết nhưng ko thể trả lời hết
15 tháng 7 2017
a) \(\frac{6^{10}.27^5}{4^5.81^6}=\frac{\left(2.3\right)^{10}.\left(3^3\right)^5}{\left(2^2\right)^5.\left(3^4\right)^6}=\frac{2^{10}.3^{10}.3^{15}}{2^{10}.3^{24}}=\frac{2^{10}.3^{25}}{2^{10}.3^{24}}=\frac{3^{25}}{3^{24}}=3\)
b) \(\frac{72^3.54^2}{108^4}=\frac{\left(2^3.3^2\right)^3.\left(2.3^3\right)^2}{\left(2^2.3^3\right)^4}=\frac{2^9.3^6.2^2.3^6}{2^8.3^{12}}=\frac{2^{11}.3^{12}}{2^8.3^{12}}=\frac{2^{11}}{2^8}=2^3=8\)
c) \(\frac{27^4.2^3-3^{10}.4^3}{6^4.9^3.4}=\frac{\left(3^3\right)^4.2^3-3^{10}.\left(2^2\right)^3}{\left(2.3\right)^4.\left(3^2\right)^3.2^2}=\frac{3^{12}.2^3-3^{10}.2^6}{2^4.3^4.3^6.2^2}\)
= \(\frac{3^{12}.2^3-3^{10}.2^6}{2^6.3^{10}}=\frac{3^{12}.2^3}{2^6.3^{10}}-\frac{3^{10}.2^6}{2^6.3^{10}}=\frac{3^2}{2^3}-1=\frac{9}{8}-1=\frac{1}{8}\)
N
3
KK
21 tháng 2 2019
A = \(\frac{2^{13}.5^2.2^6.3^4}{8.2^{18}.81.5}\)
= \(\frac{2^{19}.5^2.3^4}{2^3.2^{18}.3^4.5}\)
= \(\frac{2^{19}.5^2.3^4}{2^{21}.3^4.5}\)
= \(\frac{5}{2^2}\) = \(\frac{5}{4}\)
CH
21 tháng 2 2019
\(A=\frac{2^{13}.5^2.2^6.3^4}{8.2^{18}.81.5}\)
\(A=\frac{2^{19}.5^2.3^4}{2^{21}.3^4.5}=\frac{5}{2^3}=\frac{5}{8}\)
F
0
\(\frac{4^6.3^4.9^5}{6^{12}}=\frac{\left(2^2\right)^6.3^4.\left(3^2\right)^5}{2^{12}.3^{12}}=\frac{2^{12}.3^4.3^{10}}{2^{12}.3^{12}}=\frac{2^{12}.3^{14}}{2^{12}.3^{12}}=3^2=9\)
\(\frac{4^6\cdot3^4\cdot9^5}{6^{12}}\)
\(=\frac{2^{12}\cdot3^4\cdot3^{10}}{2^{12}\cdot3^{12}}\)
\(=\frac{1\cdot3^{14}}{1\cdot3^{12}}\)
\(=\frac{3^{14}}{3^{12}}\)
\(=3^2\)
\(=9\)