化简 (1+0.0001)^{1/(0.0001)}

解答

化简

(1 + 0.0001)^{\frac{1}{0.0001}}

2.71814 \dots

求解步骤

(1 + 0.0001)^{\frac{1}{0.0001}}

数字相除:

\frac{1}{0.0001} = 10000

= (1 + 0.0001)^{10000}

数字相加:

1 + 0.0001 = 1.0001

= 1.000 1^{10000}

1.000 1^{10000} = 2.71814 \dots

= 2.71814 \dots

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