\(\frac{8^{10}+4^{10}}{8^4+4^{11}}\)
Những câu hỏi liên quan
\(\frac{9^8\times3-9^9}{9^8\times5+9^8\times7}\div\frac{11^4\times6-11^5}{11^4-11^5}\div\frac{10^5-10^5\times3}{10^511}\)
Tính A=\(\sqrt{\frac{8^{10}}{8^4}+\frac{4^{10}}{4^{11}}}\)
\(\frac{8^{10}+4^{10}\$^{ }.}{8^4+4^{11}}\)
\(\frac{8^{10}+4^{10}}{8^4+4^{11}}=\frac{\left(2^3\right)^{10}+\left(2^2\right)^{10}}{\left(2^3\right)^4+\left(2^2\right)^{11}}=\frac{2^{30}+2^{20}}{2^{12}+2^{22}}=\frac{2^{20}\left(2^{10}+1\right)}{2^{12}\left(1+2^{10}\right)}=2^8=256\)
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1)Rút gọn
A=\(\frac{8^{10}+4^{10}}{8^4+4^{11}}\)
B=\(\frac{8^{11}.3^{17}}{27^{10}.9^{15}}\)
C=\(\frac{8^2.4^5}{2^{20}}\)
\(A=\frac{8^{10}+4^{10}}{8^4+4^{11}}\\ =\frac{8^4.8^6+4^{10}}{8^4+4^{10}.4}\\ =\frac{8^6}{4}\\ =\frac{262144}{4}\\ =65536\)
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\(A=\frac{8^{10}+4^{10}}{8^4+4^{11}}=\frac{\left(2^3\right)^{10}+\left(2^2\right)^{10}}{\left(2^3\right)^4+\left(2^2\right)^{11}}=\frac{2^{30}+2^{20}}{2^{12}+2^{22}}=\frac{2^{20}\left(2^{10}+1\right)}{2^{12}\left(2^{10}+1\right)}=2^8=256\)
\(B=\frac{8^{11}.3^{17}}{27^{10}.9^{15}}=\frac{\left(2^3\right)^{11}.3^{17}}{\left(3^3\right)^{10}.\left(3^2\right)^{15}}=\frac{2^{33}.3^{17}}{3^{30}.3^{30}}=\frac{2^{33}}{3^{43}}\)
\(C=\frac{8^2.4^5}{2^{20}}=\frac{\left(2^3\right)^2.\left(2^2\right)^5}{2^{20}}=\frac{2^6.2^{10}}{2^{20}}=\frac{1}{2^4}=\frac{1}{16}\)
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tính
\(\frac{8^{10}+4^{10}}{8^4+4^{11}}\)
Tính :
\(\frac{8^{10}+4^{10}}{8^4+4^{11}}\)
\(\frac{8^{10}+4^{10}}{8^4+4^{11}}=\frac{2^{30}+2^{20}}{2^{12}+2^{22}}=\frac{2^{20}.\left(2^{10}+1\right)}{2^{12}.\left(1+2^{10}\right)}=\frac{2^{20}}{2^{12}}=2^{20-12}=2^8=256\)
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\(\frac{8^{10}+4^{10}}{8^4+4^{11}}=256.\)
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tính \(M=\frac{8^{10}+4^{10}}{8^4+4^{11}}\)
\(M=\frac{8^{10}+4^{10}}{8^4+4^{11}}=\frac{\left(2^3\right)^{10}+\left(2^2\right)^{10}}{ \left(2^3\right)^4+\left(2^2\right)^{11}}=\frac{2^{30}+2^{20}}{2^{12}+2^{22}}=\frac{2^{20}\left(2^{10}+1\right)}{2^{12}\left(1+2^{10}\right)}=\frac{2^{20}}{2^{12}}=2^8=256\)
Chúc học tốt :)
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Tính : M = \(\frac{8^{10}+4^{10}}{8^4+4^{11}}\)
\(M=\frac{8^{10}+4^{10}}{8^4+4^{11}}\)
\(M=\frac{\left(2^3\right)^{10}+\left(2^2\right)^{10}}{\left(2^3\right)^4+\left(2^2\right)^{11}}\)
\(M=\frac{2^{30}+2^{20}}{2^{12}+2^{22}}\)
\(M=\frac{2^{20}.\left(2^{10}+1\right)}{2^{12}.\left(1+2^{10}\right)}\)
\(M=\frac{2^{20}}{2^{12}}\)
\(M=2^8=256\)
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\(M=\frac{8^{10}+4^{10}=1.074.790.400}{8^4+4^{11}=4.198.400}\)
Vậy
\(\Rightarrow M=\frac{1.074.790.400}{4.198.400}\)
P/s; Ko chắc đâu nhé
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Tính M= \(\frac{8^{10}+4^{10}}{8^4+4^{11}}\)
\(M=\frac{8^{10}+4^{10}}{8^4+4^{11}}=\frac{2^{30}+2^{20}}{2^{12}+2^{22}}=\frac{2^{12}.2^8\left(2^{10}+1\right)}{2^{12}\left(1+2^{10}\right)}=2^8\)
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