1. **Stating the problem:** Calculate the value of $7 \times 9 \times 3^{\frac{2}{9}}$. 2. **Formula and rules:** When you have a product involving an exponent, calculate the exponent part first, then multiply. 3. **Calculate the exponent:** $$3^{\frac{2}{9}} = \exp\left(\frac{2}{9} \ln 3\right)$$ Using approximate values, $\ln 3 \approx 1.0986$, so $$3^{\frac{2}{9}} \approx \exp\left(\frac{2}{9} \times 1.0986\right) = \exp(0.2441) \approx 1.276$$ 4. **Multiply all parts:** $$7 \times 9 \times 1.276 = 63 \times 1.276 = 80.388$$ 5. **Final answer:** $$7 \times 9 \times 3^{\frac{2}{9}} \approx 80.388$$ This means the whole expression evaluates approximately to 80.388.