1. **State the problem:** Calculate the value of $3^{10} + 3^{10} + 3^{10}$. 2. **Use the properties of exponents and addition:** Since all terms are the same, we can factor out $3^{10}$. 3. **Apply factoring:** $$3^{10} + 3^{10} + 3^{10} = 3 \times 3^{10}$$ 4. **Use the exponent multiplication rule:** $$3 \times 3^{10} = 3^{1} \times 3^{10} = 3^{1+10} = 3^{11}$$ 5. **Calculate the final value:** $$3^{11} = 177147$$ **Final answer:** $177147$