Question

(2¹⁵+2⁸): (16³+2⁹)

Answer 1

\(\dfrac{2^{15}+2^8}{16^3+2^9}=\dfrac{2^8\left(2^7+1\right)}{2^{12}+2^9}=\dfrac{2^8\left(2^7+1\right)}{2^9\left(2^3+1\right)}=\dfrac{1}{2}\cdot\dfrac{43}{3}=\dfrac{43}{6}\)

Answer 2

\(\left(2^{15}+2^8\right):\left(16^3+2^9\right)=2^8\left(2^7+1\right):\left(2^{12}+2^9\right)=2^8\left(2^7+1\right):\left[2^8\left(2^4+2\right)\right]=\left(2^7+1\right):\left(2^4+2\right)=\dfrac{129}{18}=\dfrac{43}{6}\)