\(\frac{32^3.9^5}{8^3.6^6}\)
K
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CC
12 tháng 8 2019
\(\frac{8^3.9^5}{6^{15}}=\frac{\left(2^3\right)^3.\left(3^2\right)^5}{\left(2.3\right)^{15}}=\frac{2^9.3^{10}}{2^{15}.3^{15}}=\frac{2^9.3^{10}}{2^9.2^6.3^{10}.3^5}=\frac{1}{2^6.3^5}\)
VM
20 tháng 9 2019
b) \(\frac{2^9.4^{10}}{8^8}=\frac{2^9.\left(2^2\right)^{10}}{\left(2^3\right)^8}=\frac{2^9.2^{20}}{2^{24}}=\frac{2^{29}}{2^{24}}=2^5=32.\)
Chúc bạn học tốt!
30 tháng 11 2019
b)a) A = (-1436) - (-1586) + |-532| - (568+468) + 1434
A=-1436+1586+532-1036+1434
A=150+532-1036+1434=1080
b)B=\(\frac{18^6.2^{12}.4^3.9^3}{16^3.6^9.27^3}=\frac{2^6.3^{12}.2^{12}.2^6.3^6}{2^9.2^9.3^9.3^9}=\frac{2^{24}.3^{18}}{2^{18}.3^{18}}=2^6\)
OY
31 tháng 8 2021
A=\(\dfrac{9^5.30^3}{3^{15}.5^3.6^2}=\dfrac{3^{10}.3^3.10^3}{3^{15}.5^3.2^2.3^2}=\dfrac{3^{13}.2^3.5^3}{3^{15}.5^3.2^2.3^2}=\dfrac{2}{3^4}=\dfrac{2}{81}\)
PN
1
XO
14 tháng 7 2019
a) \(\frac{9^{10}.27^7}{81^7.3^{15}}\)= \(\frac{\left(3^2\right)^{10}.\left(3^3\right)^7}{\left(3^4\right)^7.3^{15}}\)= \(\frac{3^{2.10}.3^{3.7}}{3^{4.7}.3^{15}}\)=\(\frac{3^{20}.3^{21}}{3^{28}.3^{15}}\)=\(\frac{3^{41}}{3^{43}}\)= \(\frac{3^{41}}{3^{41}.3^2}\)= \(\frac{1}{3^2}=\frac{1}{9}\)
b) \(\frac{8^3.9^5.27^5}{4^5.81^6}\)= \(\frac{\left(2^3\right)^3.\left(3^2\right)^5.\left(3^3\right)^5}{\left(2^2\right)^5.\left(3^4\right)^6}\)= \(\frac{2^{3.3}.3^{2.5}.3^{3.5}}{2^{2.5}.3^{4.6}}\)=\(\frac{2^9.3^{10}.3^{15}}{2^{10}.3^{24}}\)= \(\frac{2^9.3^{25}}{2^{10}.3^{24}}\)=\(\frac{2^9.3^{24}.3}{2^9.2.3^{24}}\)=\(\frac{3}{2}\)
VT
0
7 tháng 7 2017
G=\(\frac{3}{2.5}+\frac{3}{5.7}+\frac{3}{7.9}+...+\frac{3}{2015.2017}\)
G=\(3.\left(\frac{1}{2.5}+\frac{1}{5.7}+\frac{1}{7.9}+...+\frac{1}{2015.2017}\right)\)
G=\(3.\left(\frac{1}{2}.\frac{1}{5}+\frac{1}{5}.\frac{1}{7}+\frac{1}{7}.\frac{1}{9}+...+\frac{1}{2013}.\frac{1}{2015}+\frac{1}{2015}.\frac{1}{2017}\right)\)
G=\(3.\left(\frac{1}{2}+\frac{1}{2017}\right)\)
G=1.5
Anh ko bik có đúng ko nữa lâu quá rồi. Em thông cảm nhé
LM
2
3 tháng 4 2018
\(A=\frac{18^4.2^{12}.4^3.9^3}{16^3.6^9.27^3}\)
\(A=\frac{\left(3.3.2\right)^4.2^{12}.\left(2^2\right)^3.\left(3^2\right)^3}{\left(4^2\right)^3.\left(3.2\right)^9.\left(3^3\right)^3}\)
\(A=\frac{3^{14}.2^{22}}{2^{21}.3^{18}}\)
\(A=\frac{2}{3^4}\)
\(A=\frac{2}{81}\)
CHÚC BN HỌC TỐT!!!!
Trả lời:
\(\frac{32^3.9^5}{8^3.6^6}=\frac{\left(2^5\right)^3.\left(3^2\right)^5}{\left(2^3\right)^3.\left(2.3\right)^6}=\frac{2^{15}.3^{10}}{2^9.2^6.3^6}=\frac{2^{15}.3^{10}}{2^{15}.3^6}=\frac{3^{10}}{3^6}=3^4=81\)
~Std well~
#Mina
Trả lời:
\(\frac{32^3.9^5}{8^3.6^6}=\frac{\left(2^5\right)^3.\left(3^2\right)^5}{\left(2^3\right)^3.\left(2.3\right)^6}=2^92^63^6=\frac{2^{15}.3^{10}}{2^{15}.3^6}=\frac{3^{10}}{3^6}=3^4=81\)
#Trúc Mai