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Popular >

simplify 1.5^2e^{-1.5}

Solution

simplify

1. 5^{2} e^{- 1.5}

Solution

0.50204 \dots

Solution steps

1. 5^{2} e^{- 1.5}

Apply exponent rule:

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

= 1. 5^{2} \cdot \frac{1}{e ^{1.5}}

Multiply fractions:

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

= \frac{1 \cdot 1. 5 ^{2}}{e ^{1.5}}

Multiply:

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

= \frac{1. 5 ^{2}}{e ^{1.5}}

1. 5^{2} = 2.25

= \frac{2.25}{e ^{1.5}}

e^{1.5} = 4.48168 \dots

= \frac{2.25}{4.48168 \dots}

Divide the numbers:

\frac{2.25}{4.48168 \dots} = 0.50204 \dots

= 0.50204 \dots

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Frequently Asked Questions (FAQ)

What is 1.5^2e^{-1.5} ?
The solution to 1.5^2e^{-1.5} is 0.50204…