What is (2.5)^2*e^{-2.5} ?

The solution to (2.5)^2*e^{-2.5} is 0.51303…

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simplify (2.5)^2*e^{-2.5}

simplify

(2.5)^{2} \cdot e^{- 2.5}

0.51303 \dots

Solution steps

(2.5)^{2} e^{- 2.5}

Apply exponent rule:

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

= 2. 5^{2} \cdot \frac{1}{e ^{2.5}}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 2. 5 ^{2}}{e ^{2.5}}

Multiply:

1 \cdot 2. 5^{2} = 2. 5^{2}

= \frac{2. 5 ^{2}}{e ^{2.5}}

2. 5^{2} = 6.25

= \frac{6.25}{e ^{2.5}}

e^{2.5} = 12.18249 \dots

= \frac{6.25}{12.18249 \dots}

Divide the numbers:

\frac{6.25}{12.18249 \dots} = 0.51303 \dots

= 0.51303 \dots

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