Rút gọn: (-2)3.33.53.7.8 / 3.24 .53.14
Ai nhanh mk k!
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Bài 1: Rút gọn
\(A=\dfrac{-56\cdot49+\left(-49\right)\cdot44}{73\cdot14+\left(-14\right)\cdot\left(-27\right)}\)
\(=\dfrac{49\cdot\left(-56-44\right)}{14\cdot\left(73+27\right)}\)
\(=\dfrac{-49\cdot100}{14\cdot100}=\dfrac{-7}{2}\)
\(\frac{9^{14}.25^5.8^7}{18^{12}.625^3.24^3}\)
\(=\frac{\left(3^2\right)^{14}.\left(5^2\right)^5.\left(2^3\right)^7}{\left(2.3^2\right)^{12}.\left(5^4\right)^3.\left(2^3.3\right)^3}\)
\(=\frac{3^{28}.5^{10}.2^{21}}{2^{12}.3^{24}.5^{12}.2^9.3}\)
\(=\frac{3^{28}.5^{10}.2^{21}}{2^{21}.3^{25}.5^{12}}\)
\(=\frac{3^3.1.1}{1.1.5^2}\)
\(=\frac{27}{25}\)
\(\frac{15.8+15.4}{12.3}=\frac{15.\left(8+4\right)}{12.3}=\frac{15.12}{12.3}=\frac{5}{1}=5\)
\(\frac{15.8+15.4}{12.3}=\frac{15.\left(8+4\right)}{12.3}=\frac{5.12}{4.3}=\frac{5}{1}=5\)
\(\frac{9^{14}\cdot25^5\cdot8^7}{18^{12}\cdot625^3\cdot24^3}=\frac{\left(3^2\right)^{14}\cdot\left(5^2\right)^5\cdot\left(2^3\right)^7}{\left(3^2\cdot2\right)^{12}\cdot\left(5^4\right)^3\cdot\left(3\cdot2^3\right)^3}\)
\(=\frac{3^{28}\cdot5^{10}\cdot2^{21}}{3^{24}\cdot2^{12}\cdot5^{12}\cdot3^3\cdot2^9}=\frac{3^{28}\cdot5^{10}\cdot2^{21}}{3^{25}\cdot5^{12}\cdot2^{21}}=\frac{3^3}{5^2}=\frac{27}{25}\)
1212/3030=1212:303/3030:303=4/10
32032/48048=32032:2002/48048:2002=16/21
456456/234234=456456:6006/234234:6006=76/39
16161616/38383838=16161616:2020202/38383838:2020202=8/19
\(15xy^2+6x^2y^2-12x^2y\Leftrightarrow3xy\left(5y+2xy-4x\right)\)
Ai k mk mk k lại
\(\frac{\left(-2\right)^3.3^3.5^3.7.8}{3.2^4.5^3.14}=\frac{\left(-2\right)^3.3^3.5^3.7.2^3}{3.2^4.5^3.2.7}=\)\(\frac{\left(-2\right)^6.3^3.5^3.7}{3.2^5.5^3.7}=\frac{-2.3^2}{1}=-18\)
~~~ học tốt ~~~
-18/125
Chúc bn hok tốt!