1. **State the problem:** Simplify the expression $$(10x^0)^6$$. 2. **Recall the rules:** - Any number or variable raised to the power 0 is 1, so $x^0 = 1$. - When raising a power to another power, multiply the exponents: $$(a^m)^n = a^{m \times n}$$. 3. **Apply the rule to $x^0$:** Since $x^0 = 1$, the expression inside the parentheses becomes: $$10 \times 1 = 10$$ 4. **Rewrite the expression:** $$(10x^0)^6 = 10^6$$ 5. **Calculate $10^6$:** $$10^6 = 1000000$$ 6. **Final answer:** $$(10x^0)^6 = 1000000$$