10) (1/2)⁸ · (1/2)⁷ : (1/2)⁴ : (1/2)⁶

\(\left(\dfrac12\right)^8\cdot\left(\dfrac12\right)^7:\left(\dfrac12\right)^4:\left(\dfrac12\right)^6=\left(\dfrac12\right)^{8+7-4-6}=\left(\dfrac12\right)^5=\dfrac1{32}\).

Ответ: \(\dfrac1{32}\)