1. **State the problem:** We want to find which expressions are equivalent to $$\frac{10^3}{5^3}$$. 2. **Simplify the original expression:** $$\frac{10^3}{5^3} = \left(\frac{10}{5}\right)^3 = 2^3 = 8$$ 3. **Check each option:** - **Option 1: $$2^0$$** - By definition, any nonzero number raised to the 0 power is 1. - $$2^0 = 1\neq 8$$ - **Option 2: $$2$$** - This is just 2, which is not equal to 8. - **Option 3: $$2^3$$** - $$2^3 = 8$$ which matches the simplified value. - **Option 4: $$\frac{1}{2^3}$$** - $$\frac{1}{2^3} = \frac{1}{8} \neq 8$$ 4. **Final answer:** The only expression equivalent to $$\frac{10^3}{5^3}$$ is $$2^3$$.