\(A=\dfrac{8^{10}+4^{10}}{8^4+4^{11}}=\dfrac{\left(2^3\right)^{10}+\left(2^2\right)^{10}}{\left(2^3\right)^4+\left(2^2\right)^{11}}=\dfrac{2^{30}+2^{20}}{2^{12}+2^{22}}=\dfrac{2^{20}\left(2^{10}+1\right)}{2^{12}\left(2^{10}+1\right)}=2^8\)
Vậy...
Tính nhanh nếu có thể:
c) \(\dfrac{8^{10}+4^{10}}{8^4+4^{11}}\)
Tính nhanh nếu có thể:
a) \(\dfrac{15}{12}+\dfrac{5}{13}-\dfrac{3}{12}-\dfrac{18}{13}\)
b) \(\dfrac{5^4.20^4}{25^5.4^5}\)
c) \(\dfrac{8^{10}+4^{10}}{8^4+4^{11}}\)
Thực hiện phép tính \(\dfrac{4^5.9^{4^{ }}-2.6^{9^{ }}}{2^{10^{ }}.3^{8^{ }}+6^{8^{ }}.20}:\sqrt{\dfrac{25}{9}}\)
\(\dfrac{10^3+2.5^3+5^3}{55}-\dfrac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}\)
Rút gọn:
A=\(\dfrac{4^{10}+8^4}{4^5+8^6}\)
B=\(\dfrac{1+3^4+3^8+3^{12}}{1+3^2+3^4+3^6+3^8+3^{10}+3^{12}+3^{14}}\)
Tính nhanh:\(\frac{8^{10}+4^{10}}{8^4+4^{11}}\)
tìm x ∈ Z biết
\(\dfrac{1}{4}.\dfrac{2}{6}.\dfrac{3}{8}.\dfrac{4}{10}...\dfrac{15}{32}=2^x\)
Tìm x ϵ N biết \(\dfrac{1}{4}.\dfrac{2}{6}.\dfrac{3}{8}.\dfrac{4}{10}......\dfrac{14}{30}.\dfrac{15}{32}=\dfrac{1}{2^x}\)
Tính giá trị biểu thức: \(\frac{8^{10}+4^{10}}{8^4+4^{11}}\)
