Which expression would use the product rule, adding the exponents? (1 point) \( 3^{3} \cdot 3^{3} \) \( \left(3^{3}\right)^{3} \) \( 3^{3}+3^{3} \) \( \frac{3^{3}}{3^{3}} \)

The **product rule** in exponents states that when you multiply two expressions with the same base, you add the exponents: \[ a^m \cdot a^n = a^{m+n} \] Let's evaluate the given options: 1. \( 3^{3} \cdot 3^{3} \) - This uses the product rule: \( 3^{3+3} = 3^6 \). 2. \( \left(3^{3}\right)^{3} \) - This uses the power of a power rule: \( 3^{3 \times 3} = 3^9 \). 3. \( 3^{3} + 3^{3} \) - This is addition, not multiplication, so the product rule doesn't apply. 4. \( \frac{3^{3}}{3^{3}} \) - This uses the quotient rule: \( 3^{3-3} = 3^0 \). **The expression that uses the product rule by adding the exponents is:** \[ 3^{3} \cdot 3^{3} \] **Answer:** \( 3^{3} \cdot 3^{3} \)