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Popular >

simplify 0.66^2*e^{-0.66}

Solution

simplify

0.6 6^{2} \cdot e^{- 0.66}

Solution

0.22514 \dots

Solution steps

0.6 6^{2} e^{- 0.66}

Apply exponent rule:

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

= 0.6 6^{2} \cdot \frac{1}{e ^{0.66}}

Multiply fractions:

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

= \frac{1 \cdot 0.6 6 ^{2}}{e ^{0.66}}

Multiply:

1 \cdot 0.6 6^{2} = 0.6 6^{2}

= \frac{0.6 6 ^{2}}{e ^{0.66}}

0.6 6^{2} = 0.4356

= \frac{0.4356}{e ^{0.66}}

e^{0.66} = 1.93479 \dots

= \frac{0.4356}{1.93479 \dots}

Divide the numbers:

\frac{0.4356}{1.93479 \dots} = 0.22514 \dots

= 0.22514 \dots

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Frequently Asked Questions (FAQ)

What is 0.66^2*e^{-0.66} ?
The solution to 0.66^2*e^{-0.66} is 0.22514…