Question

Thực hiện phép tính

( \(2^{16}\)+ \(2^8\)) : ( \(2^{13}\)+ \(2^5\))

Answer 1

\(\left(2^{16}+2^8\right):\left(2^{13}+2^5\right)\)

\(=\left(2^8\cdot2^8+2^8\right):\left(2^5\cdot2^8+2^5\right)\)

\(=\left(2^8\cdot2^8+2^8\cdot1\right):\left(2^5\cdot2^8+2^5\cdot1\right)\)

\(=2^8\cdot\left(2^8+1\right):2^5\cdot\left(2^8+1\right)\)

\(=\dfrac{2^8\cdot\left(2^8+1\right)}{2^5\cdot\left(2^8+1\right)}\)

\(=\dfrac{2^8}{2^5}=2^{\left(8-5\right)}=2^3=8\)