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Popular >

simplify 2.5^2*e^{-2.5}

Solution

simplify

2. 5^{2} \cdot e^{- 2.5}

Solution

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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15.6 \cdot 1 0^{- 9}

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3.2 x 1 0^{- 19}

simplify-2e^y*2e^y simplify

- 2 e^{y} \cdot 2 e^{y}

Frequently Asked Questions (FAQ)

What is 2.5^2*e^{-2.5} ?
The solution to 2.5^2*e^{-2.5} is 0.51303…