[คนไม่เก่งที่ชอบคณิต]

$8^{\frac{1}{3}+log_{\frac{1}{2}}5+log_{16}100}$

= $8^{\frac{1}{3}}\times8^{log_{\frac{1}{2}}5}\times8^{log_{16}100}$

= $8^{\frac{1}{3}}\times2^{3log_{2^{-1}}5}\times2^{3log_{2^{4}}100}$

= $2 \times 2^{-3log_{2}5}\times2^{\frac{3}{4}log_{2}100}$

= $2 \times 2^{log_{2}5^{-3}}\times2^{log_{2}100^{\frac{3}{4}}}$

= $2 \times 5^{-3} \times 100^{\frac{3}{4}} $