化简 e^{-0.25(3.5-1.8)^2}

解答

化简

e^{- 0.25 (3.5 - 1.8)^{2}}

0.48553 \dots

求解步骤

e^{- 0.25 (3.5 - 1.8)^{2}}

使用指数法则:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{e ^{0.25 (3.5 - 1.8)^{2}}}

数字相减:

3.5 - 1.8 = 1.7

= \frac{1}{e ^{0.25 \cdot 1. 7^{2}}}

e^{0.25 \cdot 1. 7^{2}} = e^{0.7225}

= \frac{1}{e ^{0.7225}}

e^{0.7225} = 2.05957 \dots

= \frac{1}{2.05957 \dots}

数字相除:

\frac{1}{2.05957 \dots} = 0.48553 \dots

= 0.48553 \dots

s im pl i f y 1.4714800000000 \dots \cdot 1 0^{- 6}

s im pl i f y (3 x 1 0^{4}) (2.1 x 1 0^{3})

s im pl i f y (2 x 1 0^{- 4}) (8.1 x 1 0^{- 1})

s im pl i f y 4 π (0.01)^{2} (0.01)

d e g 2 r a d [(x + 1)^{2}]^{^{'}}