HOC24
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Chủ đề / Chương
Bài học
\(5^2.36+5^2.33\)\(=5^2.\left(36+33\right)\)\(=25.69\)\(=1725\)
Bài 6: Thực hiện phép tính.\(a,\dfrac{5^{16}.27^7}{125^5.9^{11}}=\dfrac{5^{16}.\left(3^3\right)^7}{\left(5^3\right)^5.\left(3^2\right)^{11}}=\dfrac{5^{16}.3^{21}}{5^{15}.3^{22}}=\dfrac{5}{3}\)\(b,\left(-0,2\right)^2.5-\dfrac{2^3.27^3}{4^6.9^5}=0,04.5-\dfrac{2^3.\left(3^3\right)^3}{\left(2^2\right)^6.\left(3^2\right)^5}=0,2-\dfrac{2^3.3^9}{2^{12}.3^{10}}=\dfrac{1}{5}-\dfrac{1}{2^9.3}=\dfrac{1}{5}-\dfrac{1}{512.3}=\dfrac{1}{5}-\dfrac{1}{1536}=\dfrac{1536}{7680}-\dfrac{5}{7680}=\dfrac{1531}{7680}\)\(c,\dfrac{5^6+2^2.25^3+2^3.125^2}{26.5^6}\)\(=\dfrac{5^6+2^2.\left(5^2\right)^3+2^3.\left(5^3\right)^2}{26.5^6}\)\(=\dfrac{5^6+2^2.5^6+2^3.5^6}{26.5^6}\)\(=\dfrac{5^6.\left(1+2^2+2^3\right)}{26.5^6}\)\(=\dfrac{5^6.13}{26.5^6}\)\(=\dfrac{13}{26}=\dfrac{1}{2}\)Chúc cậu học tốt ạ:33
\(\left(-0,2\right)^2.5-\dfrac{8^2.9^5}{3^9.4^3}=0,04.5-\dfrac{\left(2^3\right)^2.\left(3^2\right)^5}{3^9.\left(2^2\right)^3}=0,2-\dfrac{2^6.3^{10}}{3^9.2^6}=0,2-3=-2,8\)
\(\dfrac{2^{2012}.3^{2013}.5^{2014}}{6^{2012}.25^{1007}}=\dfrac{2^{2012}.3^{2013}.5^{2014}}{\left(2.3\right)^{2012}.\left(5^2\right)^{1007}}=\dfrac{2^{2012}.3^{2013}.5^{2014}}{2^{2012}.3^{2012}.5^{2014}}=3\)
\(4,\dfrac{14^{1005}.5^{1006}}{2^{1007}.35^{1004}}=\dfrac{\left(2.7\right)^{1005}.5^{1006}}{2^{1007}.\left(7.5\right)^{1004}}=\dfrac{2^{1005}.7^{1005}.5^{1006}}{2^{1007}.7^{1004}.5^{1004}}=\dfrac{7.5^2}{2^2}=\dfrac{7.25}{4}=\dfrac{175}{4}\)