1. **State the problem:** Calculate the value of $10^{2.37}$.
2. **Formula used:** The expression is an exponential function where the base is 10 and the exponent is 2.37.
3. **Explanation:** To evaluate $10^{2.37}$, we use the property of exponents that $a^b = \exp(b \ln a)$.
4. **Intermediate work:**
$$10^{2.37} = \exp(2.37 \times \ln 10)$$
Since $\ln 10 \approx 2.302585$,
$$10^{2.37} = \exp(2.37 \times 2.302585) = \exp(5.45612)$$
5. **Final evaluation:**
Using a calculator,
$$10^{2.37} \approx 234.422$$
Thus, the value of $10^{2.37}$ is approximately 234.422.
Exponentiation 259Ce7
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