Option 3 : 2(2^{9} - 1)

**Given:**

\(\dfrac{2^{310}-2^{301}}{2^{300}}\)

**Formula used:**

a^{p+q} = a^{p} × a^{q}

**Calculation: **

Solving the given expression,

⇒ (2^{310} - 2^{301})/2^{300}

⇒ [(2^{10} × 2^{300}} - {2 × 2^{300})]/2^{300}

⇒ [2^{300} × (2^{10} - 2)]/2^{300}

⇒ 210 - 2

⇒ 2(2^{9} - 1)

**∴ The value of the given expression is 2(29 - 1)**