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a) \(\frac{75^3.3^7}{81^4.5^6}=\frac{5^3.3^3.5^3.3^7}{\left(3^4\right)^4.5^6}=\frac{5^6.3^3.3^7}{3^{16}.5^6}=\frac{3^{10}}{3^{16}}=\frac{1}{3^6}=\frac{1}{729}\)
b) \(\frac{6^6.4^2}{3^{12}.2^8}=\frac{2^6.3^6.\left(2^2\right)^2}{3^{12}.2^8}=\frac{2^6.3^6.2^4}{3^{12}.2^8}=\frac{2^{10}.3^6}{3^{12}.2^8}=\frac{2^2.1}{3^6}=\frac{4}{729}\)
c) \(\frac{34^5.2^5}{2^{14}.17^5}=\frac{2^5.17^5.2^5}{2^{14}.17^5}=\frac{2^{10}}{2^{14}}=\frac{1}{2^4}=\frac{1}{16}\)
do \(\frac{7+x}{3+x}=\frac{5}{2}\Rightarrow\left(7+x\right).2=\left(3+x\right).5\)\(\Rightarrow14+2x=15+5x\Rightarrow14-15=5x-2x\)
\(\Rightarrow-1=3x\Rightarrow x=-\frac{1}{3}\)
vậy x= \(\frac{-1}{3}\)
\(\frac{x}{-7}=\frac{y}{2}\Rightarrow\frac{x}{-7}=\frac{2y}{4}=\frac{x+2y}{-7+4}=-\frac{6}{-3}=2\)
\(\Rightarrow\hept{\begin{cases}x=-14\\y=4\end{cases}}\)
Vậy ....
\(\frac{x}{-7}=\frac{y}{2}\\ \Rightarrow\frac{x}{-7}=\frac{2y}{4},ap_{ }dung_{ }tinh_{ }chat_{ }day_{ }ti_{ }so_{ }bang_{ }nhau\\ \)
\(\frac{x}{-7}=\frac{2y}{4}=\frac{x+2y}{-7+4}=\frac{-6}{-3}=2\\ \)
\(Co_{ }\frac{x}{-7}=2\Rightarrow x=-14\\ \frac{y}{2}=2\Rightarrow y=4\)
TÌM X:
a) 2x - 3 = \(\frac{1}{2}\)
2x = \(\frac{1}{2}+3\)
2x = \(\frac{7}{2}\)
x = 2 : \(\frac{7}{2}\)
x = 2 . \(\frac{2}{7}\)
x = \(\frac{4}{7}\)
b) /x+1/ = 0.25
/x+1/ = \(\frac{1}{4}\)
\(\orbr{\begin{cases}x+1=\frac{1}{4}\\x+1=-\frac{1}{4}\end{cases}}\)
\(\orbr{\begin{cases}x=\frac{1}{4}-1\\x=-\frac{1}{4}-1\end{cases}}\)
\(\orbr{\begin{cases}x=-\frac{3}{4}\\x=-\frac{5}{4}\end{cases}}\)
c) 32 : 2x = 2
\(2x=32:2\)
\(2x=16\)
\(x=16:2\)
\(x=8\)
~GOOD STUDY~