\(\dfrac{0,8^5}{0,4^6}=\dfrac{\left(2^3\cdot\dfrac{1}{10}\right)^5}{\left(2^2\cdot\dfrac{1}{10}\right)^6}=\dfrac{2^{15}\cdot\dfrac{1}{10^5}}{2^{12}\cdot\dfrac{1}{10^6}}=\dfrac{2^3}{\dfrac{1}{10}}=2^3\cdot10=80\)

\(=\left(\dfrac{0,8}{0,4}\right)^5\cdot\dfrac{1}{0,4}=2^5\cdot\dfrac{1}{0,4}=\dfrac{32}{0,4}=80\)

Giải:

\(\dfrac{\left(0,8\right)^5}{\left(0,4\right)^6}\)

= \(\left(\dfrac{0,8}{0,4}\right)^5.\dfrac{1}{0,4}\)

= \(2^5.\dfrac{1}{0,4}\)

= \(\dfrac{32}{0,4}=80\)

Hok tốt 

Tính giá trị biểu thức

\(\dfrac{2^{15}.9^4}{6^3.8^3}\)

a.

\(\frac{45^{10}\times5^{20}}{75^{15}}=\frac{\left(3^2\times5\right)^{10}\times5^{20}}{\left(3\times5^2\right)^{15}}=\frac{3^{20}\times5^{10}\times5^{20}}{3^{15}\times5^{30}}=3^5=243\)

b.

\(\frac{\left(0,8\right)^5}{\left(0,4\right)^6}=\frac{\left(0,8\right)^5}{\left(0,4\right)^5}\times\frac{1}{\left(0,4\right)}=\left(\frac{0,8}{0,4}\right)^5\times\frac{1}{\frac{4}{10}}=2^5\times\frac{5}{2}=2^4\times5=16\times5=80\)

c.

\(\frac{2^{15}\times9^4}{6^6\times8^3}=\frac{2^{15}\times\left(3^2\right)^4}{\left(2\times3\right)^6\times\left(2^3\right)^3}=\frac{2^{15}\times3^8}{2^6\times3^6\times2^9}=3^2=9\)

Chúc bạn học tốt ^^

\(\frac{\left(0,8^5\right)}{\left(0,4^6\right)}=80\)

nha bạn 

\(\frac{\left(0,8^5\right)}{\left(0,4^6\right)}=80\)nha  Linh Nguyễn                               ^_^

\(\frac{0,8^5}{0,4^6}=\frac{\frac{1024}{3125}}{\frac{64}{16525}}=80\)

\(\frac{0,8^5}{0,4^6}\)

\(=\frac{0,8.0,8.0,8.0,8.0,8}{0,4.0,4.0,4.0,4.0,4.0,4}\)

\(=\frac{32}{1.0,4}\)

\(=80\)

chúc bạn học tốt!!!

//olm.vn/hoi-dap/question/1227718.html

\(\frac{\left(0,8\right)^5}{\left(0,4\right)^6}\)

\(=\frac{\left(0,4.2\right)^5}{\left(0,4\right)^6}\)

\(=\frac{\left(0,4\right)^5.2^5}{\left(0,4\right)^6}\)

\(=\frac{2^5}{0,4}\)

\(=\frac{2^5}{0,1.2^2}\)

\(=\frac{2^3}{0,1}\)

\(=80\)

a) A = \(\frac{45^{10}.5^{10}}{75^{10}}=\frac{\left(5.3^2\right)^{10}.5^{10}}{\left(5^2.3\right)^{10}}=\frac{5^{10}.3^{20}.5^{10}}{5^{20}.3^{10}}=\frac{5^{20}.3^{10}}{5^{20}}=3^{10}=59049\)

b) B = \(\frac{\left(0,8\right)^5}{\left(0,4\right)^6}=\frac{\left(0,2.2^2\right)^5}{\left(0,2.2\right)^6}=\frac{\left(0,2\right)^5.2^{10}}{\left(0,2\right)^6.2^6}=\frac{2^4}{0,2}=\frac{16}{0,2}=80\)

c) C = \(\frac{2^{15}.9^4}{6^6.8^3}=\frac{2^{15}.\left(3^2\right)^4}{\left(2.3\right)^6.\left(2^3\right)^3}=\frac{2^{15}.3^8}{2^6.3^6.2^9}=\frac{2^{15}.3^2}{2^{15}}=3^2=9\)

\(A=\frac{\left(9^{10}×5^{10}×5^{10}\right)}{\left(25^{10}×3^{10}\right)}\)

\(A=\frac{\left(3^{20}×5^{20}\right)}{\left(5^{20}×3^{10}\right)}\)

\(A=\frac{3^{20}}{3^{10}}\)

\(A=3^{10}\)