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Popular >

simplify (0.25)^2e^{-(0.25)}

Solution

simplify

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

Solution

0.04867 \dots

Solution steps

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

Apply exponent rule:

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

= 0.2 5^{2} \cdot \frac{1}{e ^{0.25}}

Multiply fractions:

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

= \frac{1 \cdot 0.2 5 ^{2}}{e ^{0.25}}

Multiply:

1 \cdot 0.2 5^{2} = 0.2 5^{2}

= \frac{0.2 5 ^{2}}{e ^{0.25}}

0.2 5^{2} = 0.0625

= \frac{0.0625}{e ^{0.25}}

e^{0.25} = 1.28402 \dots

= \frac{0.0625}{1.28402 \dots}

Divide the numbers:

\frac{0.0625}{1.28402 \dots} = 0.04867 \dots

= 0.04867 \dots

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Frequently Asked Questions (FAQ)

What is (0.25)^2e^{-(0.25)} ?
The solution to (0.25)^2e^{-(0.25)} is 0.04867…