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Popular >

simplify e^{-0.8}(0.8)^2

Solution

simplify

e^{- 0.8} (0.8)^{2}

Solution

0.28757 \dots

Solution steps

e^{- 0.8} (0.8)^{2}

Apply exponent rule:

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

= 0. 8^{2} \cdot \frac{1}{e ^{0.8}}

Multiply fractions:

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

= \frac{1 \cdot 0. 8 ^{2}}{e ^{0.8}}

Multiply:

1 \cdot 0. 8^{2} = 0. 8^{2}

= \frac{0. 8 ^{2}}{e ^{0.8}}

0. 8^{2} = 0.64

= \frac{0.64}{e ^{0.8}}

e^{0.8} = 2.22554 \dots

= \frac{0.64}{2.22554 \dots}

Divide the numbers:

\frac{0.64}{2.22554 \dots} = 0.28757 \dots

= 0.28757 \dots

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Frequently Asked Questions (FAQ)

What is e^{-0.8}(0.8)^2 ?
The solution to e^{-0.8}(0.8)^2 is 0.28757…