Question

Tính hợp lí:

(2^39 + 2^35) / (2^33 . 4)

(4^17 + 4^3) / (4^16 + 4^2)

Answer 1

\(\dfrac{2^{39}+2^{35}}{2^{33}\cdot4}\)

\(=\dfrac{2^{35}\cdot\left(2^4+1\right)}{2^{33}\cdot2^2}\)

\(=\dfrac{2^{35}\cdot\left(16+1\right)}{2^{35}}\)

\(=17\)

\(---\)

\(\dfrac{4^{17}+4^3}{4^{16}+4^2}\)

\(=\dfrac{4^3\cdot\left(4^{14}+1\right)}{4^2\cdot\left(4^{14}+1\right)}\)

\(=4\)

#\(Toru\)