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

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\(\frac{8^{10}+4^{10}}{8^4+4^{11}}=\frac{2^{30}+2^{20}}{2^{12}+2^{22}}=\frac{2^{20}\left(2^{10}+1\right)}{2^{12}\left(1+2^{10}\right)}\)

\(=2^8=256\)

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

\(=\frac{2^{30}+2^{20}}{2^{12}+2^{22}}\)

\(=\frac{2^{20}×2^{10}+2^{20}}{2^{12}+2^{12}×2^{10}}\)

\(=\frac{2^{20}×\left(2^{10}+1\right)}{2^{12}×\left(1+2^{10}\right)}\)

\(=\frac{2^{20}}{2^{12}}=2^8\)

Cbht

21 tháng 8 2016

4^4

21 tháng 8 2016

\(\frac{8^{10}+4^{10}}{8^4+4^{11}}=\frac{2^{30}+2^{20}}{2^{12}+2^{22}}=\frac{2^{20}\left(2^{10}+1\right)}{2^{12}\left(2^{10}+1\right)}=2^8\)

24 tháng 10 2020

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

\(=\frac{\left(2^3\right)^{10}+\left(2^2\right)^{10}}{\left(2^3\right)^4+\left(2^2\right)^{11}}\)   

\(=\frac{2^{30}+2^{20}}{2^{12}+2^{22}}\)   

\(=\frac{2^{30}+2^{20}}{2^{22}+2^{12}}\)   

\(=\frac{2^{20}\left(2^{10}+1\right)}{2^{12}\left(2^{10}+1\right)}\)   

\(=\frac{2^{20}}{2^{12}}\)   

\(=2^8\)   

\(=256\)

I don't now 

sorry 

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

nha

27 tháng 7 2018

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

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

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

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

18 tháng 3 2020

Câu 1:\(\frac{45^{10}.5^{10}}{75^{10}}\) = \(\frac{\left(5.9\right)^{10}.5^{10}}{\left(5.5.3\right)^{10}}\) = \(\frac{5^{10}.9^{10}.5^{10}}{5^{10}.5^{10}.3^{10}}\) = \(\frac{9^{10}}{3^{10}}\) = \(\frac{3^{10}.3^{10}}{3^{10}}\) = \(3^{10}\) = 59049

Câu 2:\(\frac{\left(0,8\right)^5}{\left(0,4\right)^6}\) = \(\frac{\left(0,4.2\right)^5}{\left(0,4\right)^6}\) = \(\frac{\left(0,4\right)^5.2^5}{\left(0,4\right)^6}\) = \(\frac{2^5}{0,4}\) = \(\frac{32}{0,4}\) = 80

Câu 3:\(\frac{2^{15}.9^4}{6^3.8^3}\) = \(\frac{2^{15}.3^8}{2^{12}.3^3}\) = \(\frac{2^3.3^5}{1.1}\) = \(\frac{8.243}{1}\) = 1944

Câu 4: \(\frac{8^{10}+4^{10}}{8^4+4^{11}}\) = \(\frac{\left(2^3\right)^{10}+\left(2^2\right)^{10}}{\left(2^3\right)^4+\left(2^2\right)^{11}}\) = \(\frac{2^{30}+2^{20}}{2^{12}+2^{22}}\) = \(\frac{2^{20}.2^{10}+2^{20}}{2^{12}+2^{12}.2^{10}}\) = \(\frac{2^{20}\left(2^{10}+1\right)}{2^{12}\left(2^{10}+1\right)}\) = \(\frac{2^{20}}{2^{12}}\) = \(\frac{2^8}{1}\) = \(2^8\) = 256

1 tháng 8 2021

ai ma biet d

1 tháng 8 2021

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

\(A=\frac{\left(2^3\right)^{10}+\left(2^2\right)^{10}}{\left(2^3\right)^4+\left(2^2\right)^{11}}\)

\(A=\frac{2^{30}+2^{20}}{2^{12}+2^{22}}\)

\(A=\frac{4^{15}+4^{10}}{4^3+4^{11}}\)

\(A=\frac{4^{10}\left(4^5+1\right)}{4^6\left(4^5+1\right)}\)

\(A=\frac{4^{10}}{4^6}=4^4=256\)

Ta có:

\(\frac{8^{10}+4^{10}}{8^4+4^{11}}=\frac{2^{30}+2^{20}}{2^{12}+2^{22}}=\frac{2^{20}\left(2^{10}+1\right)}{2^{12}\left(1+2^{10}\right)}=2^8=256\)

9 tháng 3 2020

\(\frac{8^{10}+4^{10}}{8^4+4^{11}}=\frac{\left(2^3\right)^{10}+\left(2^2\right)^{10}}{\left(2^3\right)^4+\left(2^2\right)^{11}}=\frac{2^{30}+2^{20}}{2^{12}+2^{22}}=\frac{2^{20}.\left(2^{10}+1\right)}{2^{12}.\left(2^{10}+1\right)}=\frac{2^{20}}{2^{12}}=2^8=256\)

23 tháng 9 2020

                                                            Bài giải

\(d,\text{ }\frac{72^3\cdot54^2}{108^4}=\frac{3^6\cdot2^9\cdot3^6\cdot2^2}{3^{12}\cdot2^8}=2^3=9\)

\(e,\text{ }\frac{3^{10}\cdot11+3^{10}\cdot5}{3^9\cdot2^4}=\frac{3^{10}\left(11+5\right)}{3^9\cdot2^4}=\frac{3\cdot16}{2^4}=\frac{3\cdot2^4}{2^4}=3\)