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1,x/7=y/3 va x-24=y
=>x/7=y/3 va x-y=24
adtcdts=n:
x/7=y/3=x-y/7-3=24/4=6
Suy ra :x/7=6=>x=6.742
y/3=6=>y=3.6=18
2,Adtcdts=n:
x/5=y/7=z/2=y-x/7-5=48/2=24
suy ra : x/5=24=>x=120
y/7=24=>y=168
z/2=24=>z=48
127^2 + 146 x 126 + 73^2
= 127^2 + 2 x 73 x 126 + 73 x 73
= 127^2 + 73 x ( 2 x126 + 73 )
=......
rồi sau đo tinh binh thuong mk chi co the giup vay thoi
\(\frac{125^3.27^4}{25^4.9^5}\)
\(=\frac{5^9.3^{12}}{5^8.3^{10}}\)
\(=5.3^2\)
\(=45\)
a) Mình ko ghi lại đề nhé!
= \(\frac{1}{2}\) - ( \(\frac{1}{3.7}\) + \(\frac{1}{7.11}\) + ... + \(\frac{1}{23.27}\) )
= \(\frac{1}{2}\) - \(\frac{1}{4}\) . ( \(\frac{1}{3}\) - \(\frac{1}{7}\) + \(\frac{1}{7}\) - .... - \(\frac{1}{27}\) )
= \(\frac{1}{2}\) - \(\frac{1}{4}\) . ( \(\frac{1}{3}\) - \(\frac{1}{27}\) )
= \(\frac{1}{2}\) - \(\frac{1}{4}\) . \(\frac{8}{27}\)
= \(\frac{1}{2}\) - \(\frac{2}{27}\) = \(\frac{23}{54}\)
b) ..............................................................................
= \(\frac{1}{5}\) . ( \(\frac{5}{5.10}\) - \(\frac{5}{10.15}\) - ... - \(\frac{5}{95.100}\) )
= \(\frac{1}{5}\) . ( \(\frac{1}{5}\) - \(\frac{1}{10}\) + \(\frac{1}{10}\) - ... - \(\frac{1}{100}\) )
= \(\frac{1}{5}\) . ( \(\frac{1}{5}\) - \(\frac{1}{100}\) )
= \(\frac{1}{5}\) . \(\frac{19}{100}\)
= \(\frac{19}{500}\)
k mình nha! Chúc bạn học tốt và được nhiều k!
\(\frac{5^{10}.7^3-25^4.7^4}{\left(5^3.7\right)^3+125^3.14^3}\)
\(=\frac{5^{10}.7^3-\left(5^2\right)^4.7^4}{5^9.7^3+\left(5^3\right)^3.\left(7.2\right)^3}\)
\(=\frac{5^{10}.7^3-5^8.7^4}{5^9.7^3+5^9.7^3.2^3}\)
\(=\frac{5^8.7^3\left(5^2-7\right)}{5^9.7^3\left(1+2^3\right)}\)
\(=\frac{18}{5.9}\)
\(=\frac{2}{5}\)
hok tốt!!
Sửa lại đề: \(\left(125^3.7^4-5^9.49^2\right):2005^{2006}\)
Ta có : \(125^3.7^4=\left(5^3\right)^3.7^4=5^{3.3}.7^4=5^9.7^4\)
\(5^9.49^2=5^9.\left(7^2\right)^2=5^9.7^{2.2}=5^9.7^4\)
\(\Rightarrow125^3.7^4-5^9.49^2=5^9.7^4-5^9.7^4=0\)
mà \(2005^{2006}>0\)\(\Rightarrow\left(125^3.7^4-5^9.49^2\right):2005^{2006}=0\)
thanks