Question

Tìm giá trị của biểu thức

A=\(\frac{2^{15}.9^4}{6^6.8^3}\)

B= \(\frac{45^{10}.5^{10}}{75^{10}}\)

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

D= \(\frac{8^{10}+4^{10}}{8^{11}+4^{11}}\)

Answer 1

I don't now 

sorry 

...................

nha

Answer 2

\(A=\frac{2^{15}.9^4}{6^6.8^3}=\frac{2^{15}.3^8}{2^6.3^6.2^9}=\frac{2^{15}.3^2}{3^{15}}=9\)

\(B=\frac{45^{10}.5^{10}}{75^{10}}=\frac{5^{10}.3^{20}.5^{10}}{5^{20}.3^{10}}=3^{10}\)

\(C=\frac{\left(0,8\right)^5}{\left(0,4\right)^6}=\frac{\left(0,4\right)^5.\left(0,2\right)^5}{0,4^6}=\frac{0,2^5}{0,2^2}=0,2^3\)

\(D=\frac{8^{10}+4^{10}}{8^{11}+4^{11}}=\frac{4^{10}\left(2^{10}+1\right)}{4^{11}\left(2^{11}+1\right)}=\frac{2^{10}+1}{2^{13}+1}\)

Answer 3

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

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

\(C=\frac{\left(0,8\right)^5}{\left(0,4\right)^6}=\frac{\left(0,4\right)^5.2^5}{\left(0,4\right)^6}=\frac{2^5}{0,4}=80\)

\(D=\frac{8^{10}+4^{10}}{8^{11}+4^{11}}=\frac{4^{10}.2^{10}+4^{10}}{4^{11}.2^{11}+4^{11}}=\frac{4^{10}\left(2^{10}+1\right)}{4^{11}\left(2^{11}+1\right)}=\frac{2^{10}+1}{4\left(2^{11}+1\right)}\)

Answer 4

\(A=\frac{2^{15}\cdot9^4}{6^6\cdot8^3}=\frac{2^{15}\cdot\left(3^2\right)^4}{2^6\cdot3^6\cdot\left(2^3\right)^3}=\frac{2^{15}\cdot3^8}{2^6\cdot3^6\cdot2^9}=\frac{2^{15}\cdot3^8}{3^6\cdot2^{15}}=\frac{3^8}{3^6}=3^2=9\)

\(B=\frac{45^{10}\cdot5^{10}}{75^{10}}=\frac{15^{10}\cdot3^{10}\cdot5^{10}}{15^{10}\cdot5^{10}}=3^{10}=59049\)

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

\(D=\frac{8^{10}+4^{10}}{8^{11}+4^{11}}=\frac{2^{10}\cdot4^{10}+4^{10}}{2^{11}\cdot4^{11}+4^{11}}=\frac{4^{10}\left(2^{10}+1\right)}{4^{11}\left(2^{11}+1\right)}=\frac{2^{10}+1}{4\left(2^{11}+1\right)}=\frac{2^{10}+1}{2^{13}+4}=\)

Answer 5

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

\(B=\frac{45^{10}.5^{10}}{75^{10}}=\frac{225^{10}}{75^{10}}=3^{10}\)

\(C=\frac{\left(0,8\right)^5}{\left(0,4\right)^6}=\frac{\left(0,4.2\right)^5}{\left(0,4\right)^6}=\frac{0,4^5.2^5}{0,4^6}=\frac{2^5}{0,4}=80\)

\(D=\frac{8^{10}+4^{10}}{8^{11}+4^{11}}=\frac{2^{10}+1}{2^{13}+1}\)