Evaluate e^-1.7

Problem

e(−1.7)

Solution

1. Identify the expression as a power of the mathematical constant e where the exponent is −1.7

2. Rewrite the expression using the property of negative exponents, a(−n)=1/(an) to make the exponent positive.

e(−1.7)=1/(e1.7)

3. Calculate the value of e1.7 using a calculator or reference table, where e≈2.71828

e1.7≈5.473947

4. Divide 1 by the result to find the decimal approximation.

1/5.473947≈0.1826835

Final Answer

e(−1.7)≈0.1826835

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