Question

Tính

M = \(\dfrac{8^{10}+4^{10}}{8^4+4^{11}}\)

N = \(\dfrac{15^{30}}{45^{15}}\)

 

Answer 1

M=256

N=15^15/3^15

Thông cảm vì mình ko giải ra chi tiết vì nó lâuuuu

Answer 2

N = \(\dfrac{3^{30}.5^{30}}{3^{30}.5^{15}}=\dfrac{5^{30}}{5^{15}}=5^{15}\)

Answer 3

\(M=\dfrac{2^{30}+2^{20}}{2^{12}+2^{22}}=\dfrac{2^{20}\left(2^{10}+1\right)}{2^{12}\left(2^{10}+1\right)}=2^8=256\\ N=\dfrac{\left(3\cdot5\right)^{30}}{\left(3^2\cdot5\right)^{15}}=\dfrac{3^{30}\cdot5^{30}}{3^{30}\cdot5^{15}}=5^{15}=...\)

Answer 4

\(M=\dfrac{8^{10}+4^{10}}{8^4+4^{11}}=\dfrac{\left(2^3\right)^{10}+\left(2^2\right)^{10}}{\left(2^2\right)^4+\left(2^2\right)^{11}}=\dfrac{2^{13}+2^{20}}{2^8+2^{22}}=\dfrac{2^{43}}{2^{30}}=2^3=8\)

\(N=\dfrac{15^{30}}{45^{15}}=\dfrac{\left(3.5\right)^{30}}{\left(3^2.5\right)^{15}}=\dfrac{3^{30}.5^{30}}{3^{17}.5^{15}}=3^3.5^5=3375\)