1. **State the problem:** Calculate the value of $$(1.874)^{\frac{1}{5}} - 1$$. 2. **Recall the formula:** The expression involves the fifth root of 1.874, which can be written as $$a^{\frac{1}{5}}$$ where $$a=1.874$$. 3. **Evaluate the fifth root:** The fifth root of a number $$a$$ is the number $$b$$ such that $$b^5 = a$$. 4. **Calculate:** Using a calculator or approximation, $$ (1.874)^{\frac{1}{5}} \approx 1.134 $$ 5. **Subtract 1:** $$ 1.134 - 1 = 0.134 $$ 6. **Final answer:** $$ (1.874)^{\frac{1}{5}} - 1 \approx 0.134 $$