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a) \(\frac{6^7}{4^3\cdot9^2}=\frac{2^7\cdot3^7}{2^6\cdot3^4}=2\cdot3^3=2\cdot27=54\)
b) \(\frac{12^3\cdot15^3}{4^3\cdot25^2\cdot9^2}=\frac{2^6\cdot3^3\cdot3^3\cdot5^3}{2^6\cdot5^4\cdot3^4}=\frac{3^2}{5}=1,8\)
c) \(\frac{2^{11}+3\cdot2^{10}}{10\cdot4^5}=\frac{2^{10}\left(2+3\right)}{2\cdot5\cdot2^{10}}=\frac{1}{2}=0,5\)
d) \(\frac{3^8\cdot2-3^6}{2\cdot17\cdot3^7}=\frac{3^6\left(3^2\cdot2-1\right)}{2\cdot17\cdot3^7}=\frac{1}{2\cdot3}=\frac{1}{6}\)
Mở máy. Bấm tổ hợp phím:
a) 2 ( 3 x 5 \(x^2\) - 2 ( 5 + 7 ) ) +3 \(x^{[]}\) 3 =
Kết quả:129
b) 3 ( 120 + ( 55 - ( 11 - 3 x 2 ) \(x^2\) ) ) +2 \(x^{[]}\) 3 =
Kết quả: 458
\(a,4^x=64\)
\(4^x=4^3\)
\(x=3\)
\(b,3\cdot\left(5^x-16\right)=3^3\)
\(5^x-16=3^3:3=3^2\)
\(5^x-16=9\)
\(5^x=9+16=25\)
\(5^x=5^2\)
\(x=2\)
\(\left[\dfrac{4}{9}+\left(\dfrac{3}{8}x.\left(-\dfrac{1}{2}\right)\right)\right].\dfrac{6}{11}=\dfrac{18}{55}\)
\(\Rightarrow\)\(\left[\dfrac{4}{9}+\left(\dfrac{3}{8}x.\left(-\dfrac{1}{2}\right)\right)\right]=\dfrac{18}{55}:\dfrac{6}{11}\)
\(\Rightarrow\dfrac{4}{9}+\dfrac{3}{8}x.\dfrac{-1}{2}=\dfrac{3}{5}\)
\(\Rightarrow\dfrac{3}{8}x.\dfrac{-1}{2}=\dfrac{3}{5}-\dfrac{4}{9}\)
\(\Rightarrow\dfrac{3}{8}x.\dfrac{-1}{2}=\dfrac{7}{45}\)
\(\Rightarrow\dfrac{3}{8}x=\dfrac{7}{45}:\dfrac{-1}{2}\)
\(\Rightarrow\dfrac{3}{8}x=\dfrac{-14}{45}\)
\(\Rightarrow x=\dfrac{-112}{135}\)
a)\(A=\frac{5.2^{13}.2^{22}-2^{36}}{\left(3.2^{17}\right)^2}\)
\(A=\frac{5.2^{35}-2^{36}}{3^2.2^{34}}\)
\(A=\frac{2^{35}\left(5-2\right)}{3^2.2^{34}}\)
\(A=\frac{2.3}{3^2}=\frac{2}{3}\)
b) \(B=\frac{2^{19}.27^3+15.4^9.9^4}{6^9.2^{10}+12^{10}}\)
\(B=\frac{2^{19}.3^9+3.5.2^{18}.3^8}{2^9.3^9.2^{10}+2^{20}.3^{10}}\)
\(B=\frac{2^{18}.3^9\left(2+5\right)}{2^{19}.3^9\left(2+3\right)}\)
\(B=\frac{7}{2.5}=\frac{7}{10}\)
3(120+50)
3.170
=510