Question

Вычислить 9^1/2+2*8^-4/3=

Answer 1

9^1/2+2*8^-4/3=3+2*1/16=3+1/8=3 1/8

Answer 2

$\displaystyle {9}^{\frac{1}{2}}+2\cdot{8}^{-\frac{4}{3}}={(3^2)}^{\frac{1}{2}}+2\cdot2^{-4}=3+2^{-3}=\\\\\displaystyle=3+\frac{1}{2^3}=3+\frac{1}{8}=\frac{24+1}{8}=\frac{25}{8}=\boxed{3\frac{1}{8}}$