1. Let's start by understanding the problem: we need to find the product of numbers expressed in their exponential forms. 2. The key formula for multiplying exponential expressions with the same base is: $$a^m \times a^n = a^{m+n}$$ This means when multiplying, we keep the base the same and add the exponents. 3. For example, if we have $2^3 \times 2^4$, using the formula, we get: $$2^{3+4} = 2^7$$ 4. Another example: $5^2 \times 5^5 = 5^{2+5} = 5^7$ 5. If the bases are different, we cannot combine the exponents directly. For example, $2^3 \times 3^4$ remains as is unless further context is given. 6. To summarize, when multiplying exponential expressions with the same base, add the exponents and keep the base. This is the fundamental rule for products in exponential form.