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\(8^{15}\times4^{13}=2^{45}\times2^{26}=2^{71}\)
\(\left(\frac{1}{2}\right)^{18}\times\left(\frac{1}{4}\right)^{24}=\left(\frac{1}{2}\right)^{18}\times\left(\frac{1}{2}\right)^{48}=\left(\frac{1}{2}\right)^{66}\)
\(9^{12}\times27^{10}=3^{24}\times3^{30}=3^{54}\)
\(8^{15}\cdot4^{13}=\left(4^2\right)^{15}\cdot4^{13}=4^{30}\cdot4^{13}=4^{43}\)
\(\left(\frac{1}{2}\right)^{18}\cdot\left(\frac{1}{4}\right)^{24}=\left(\frac{1}{2}\right)^{18}\cdot\left[\left(\frac{1}{2}\right)^2\right]^{24}=\left(\frac{1}{2}\right)^{66}\)
\(9^{12}\cdot27^{10}=3^{36}\cdot3^{30}=3^{66}\)

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!!!

\(8A=\frac{8^{19}+8}{8^{19}+1}=1+\frac{7}{8^{19}+1}\)
\(8B=\frac{8^{24}+8}{8^{24}+1}=1+\frac{7}{8^{24}+1}\)
\(\text{Vì }\frac{7}{8^{19}+1}>\frac{7}{8^{24}+1}\)
\(\Rightarrow8A>8B\)
\(\Rightarrow A>B\)
\(\text{Câu B làm tương tự nhé}\)


Năm nay mình mới lên lp 4 nên không biết làm bài này.
Xin bạn thông cảm.

a) 1632+74x163+372 = 163(163+74)+ 372
= 163.237 + 1369
= 40000
b)98x28-(184-1)(184+1) = (9.2)8 - 188 + 12
= 188 - 188 + 1
= 1