1. The problem asks to express the product $10 \cdot 10^7$ as a single power of 10 with a simplified exponent. 2. Recall the rule for multiplying powers with the same base: $$a^m \cdot a^n = a^{m+n}$$ 3. Here, the base is 10. We can rewrite 10 as $10^1$. 4. So, $$10 \cdot 10^7 = 10^1 \cdot 10^7$$ 5. Using the multiplication rule, add the exponents: $$10^{1+7} = 10^8$$ 6. Therefore, the product $10 \cdot 10^7$ expressed as a single power of 10 is $$10^8$$.