Rút gọn phân số:
\(\frac{14.7-7.8}{7+3.9}\)
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a) \(\dfrac{22}{55}=\dfrac{2}{5}\)
b) \(\dfrac{-63}{81}=\dfrac{-7}{9}\)
c) \(\dfrac{2.14}{7.8}=\dfrac{2.7.2}{7.2.2.2}=\dfrac{1}{2}\)
d) \(\dfrac{49+7.49}{49}=\dfrac{49.\left(7+1\right)}{49}=\dfrac{49.8}{49}=8\)
\(\dfrac{-2^3\cdot3^3\cdot5^3\cdot7\cdot8}{3\cdot5^3\cdot2^4\cdot42}\)
\(=\dfrac{-2^6\cdot3^3\cdot5^3\cdot7}{3\cdot5^3\cdot2^4\cdot2\cdot3\cdot7}\)
\(=\dfrac{-2^6\cdot3^3\cdot5^3}{2^5\cdot3^2\cdot5^3}=-2\cdot3=-6\)
=-(2.3^3.5^3.7.2^3)/3.2^3.3.5^3.2.7
=-(2^4.3^3.5^3.7)/3^2.2^4.5^3.7
=-(1.3.1.1)/1.1.1.1
=-3/1=-3
\(\frac{3^2.6^3.9^6}{2^33^{15}}\)= \(\frac{3^2.2^3.3^3.3^{12}}{2^3.3^{15}}\)= \(\frac{3^{17}}{3^{15}}\)=9
32.63.96/23.315= 32.(2.3)3.(32)6/23.315=32.23.33.312/23.315=317.23/23.315= 32 = 9
\(\frac{4.6^{14}}{9^7.8^5}=\frac{2^2.\left(2.3\right)^{14}}{\left(3^2\right)^7.\left(2^3\right)^5}=\frac{2^{16}.3^{14}}{3^{14}.2^{15}}=2\)
\(\frac{4.6^{14}}{9^7.8^5}=\frac{2^2.2^{14}.3^{14}}{\left(3^2\right)^7.\left(2^3\right)^5}=\frac{2^2.2^{14}.3^{14}}{3^{14}.2^{15}}=2\)
học tốt
ko
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A.\(\frac{2^3.9^2}{2^2.3^2.5}=\frac{2^2.2.\left(3^2\right)^2}{2^2.3^2.5}=\frac{2.3^2}{5}=\frac{18}{5}\)
B.\(\frac{2^4.5^5.11^2.7}{2^3.5^3.7^2.11}=\frac{2^3.2.5^3.5^2.11.11.7}{2^3.5^3.7.7.11}=\frac{2.5^2.11}{7}=\frac{61}{7}\)
\(=\frac{7\left(14-8\right)}{7+27}=\frac{42}{34}=\frac{21}{17}\)
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