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Năm nay mình mới lên lp 4 nên không biết làm bài này.
Xin bạn thông cảm.
a, \(\dfrac{4^2.4^3}{2^{10}}=\dfrac{4^5}{2^{10}}=\dfrac{\left(2^2\right)^5}{2^{10}}=\dfrac{2^{10}}{2^{10}}=1\)
b, \(\dfrac{2^7.9^3}{6^5.8^2}=\dfrac{2^7.\left(3^2\right)^3}{2^5.3^5.\left(2^3\right)^2}=\dfrac{2^7.3^6}{2^5.3^5.2^6}=\dfrac{3}{2^4}=\dfrac{3}{16}\)
c, \(\dfrac{9^7.5^6.125^9}{15^{15}.5^{18}}=\dfrac{3^{21}.5^6.5^{27}}{5^{15}.3^{15}.5^{18}}=\dfrac{3^{21}.5^{33}}{3^{15}.5^{33}}=3^6=729\)
d, \(\dfrac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}=\dfrac{2^{12}.3^{10}+2^9.3^9.2^3.3.5}{2^{12}.3^{12}-2^{11}.3^{11}}\)
\(=\dfrac{2^{12}.3^9.\left(1+3.5\right)}{2^{11}.3^{11}.\left(2.3-1\right)}=\dfrac{2.16}{3^2.5}=\dfrac{32}{45}\)
Chúc bạn học tốt!!!
=2^12.3^5-(2^2)^6.(3^2)^2/2^12.3^6+(2^3)^4.3^5
=2^12.3^5-2^12.3^4/2^12.3^6+2^12.3^5
=2^12.3^4.(3-1)/2^12.3^4.(3^2+3)
=2/12
=1/6
CẬU XEM LẠI GIÙM MÌNH NHÉ!
\(A=\frac{2^{12}\cdot3^5-4^6\cdot9^2}{12^6}\)
\(\Rightarrow A=\frac{2^{12}\cdot3^5-\left(2^2\right)^6\cdot\left(3^2\right)^2}{\left(2^2\cdot3\right)^6}\)
\(\Rightarrow A=\frac{2^{12}\cdot3^5-2^{12}\cdot3^4}{\left(2^2\right)^6\cdot3^6}\)
\(\Rightarrow A=\frac{2^{12}\cdot3^4\cdot\left(3-1\right)}{2^{12}\cdot3^6}\)
\(\Rightarrow A=\frac{2^{12}\cdot3^4\cdot2}{2^{12}\cdot3^6}\)
\(\Rightarrow A=\frac{2^{13}\cdot3^4}{2^{12}\cdot3^6}\)
\(\Rightarrow A=\frac{2}{3^2}\)
\(\Rightarrow A=\frac{2}{9}\)