Question

(2¹⁰.65+13.2¹⁰) : (2⁸.104)

Answer 1

\(\left(2^{10}\cdot65+13\cdot2^{10}\right):\left(2^8\cdot104\right)\)

\(=\frac{2^{10}\cdot65+13\cdot2^{10}}{2^8\cdot104}\)

\(=\frac{2^{10}\cdot\left(65+13\right)}{2^8\cdot2^3\cdot13}\)

\(=\frac{2^{10}\cdot78}{2^{11}\cdot13}\)

\(=\frac{2^{10}\cdot2\cdot3\cdot13}{2^{11}\cdot13}\)

\(=\frac{2^{11}\cdot3\cdot13}{2^{11}\cdot13}\)

\(=3\)