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Popular >

simplify 2e^{-(1.5)^2}

Solution

simplify

2 e^{- (1.5)^{2}}

Solution

0.21079 \dots

Solution steps

2 e^{- (1.5)^{2}}

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply the numbers:

1 \cdot 2 = 2

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

1. 5^{2} = 2.25

= \frac{2}{e ^{2.25}}

e^{2.25} = 9.48773 \dots

= \frac{2}{9.48773 \dots}

Divide the numbers:

\frac{2}{9.48773 \dots} = 0.21079 \dots

= 0.21079 \dots

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Frequently Asked Questions (FAQ)

What is 2e^{-(1.5)^2} ?
The solution to 2e^{-(1.5)^2} is 0.21079…