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Popular >

simplify 1.5e^{-2^2}

Solution

simplify

1.5 e^{- 2^{2}}

Solution

0.02747 \dots

Solution steps

1.5 e^{- 2^{2}}

Apply exponent rule:

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

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

Multiply fractions:

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

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

Multiply the numbers:

1 \cdot 1.5 = 1.5

= \frac{1.5}{e ^{2^{2}}}

2^{2} = 4

= \frac{1.5}{e ^{4}}

Convert element to a decimal form

e^{4} = 54.59815 \dots

= \frac{1.5}{54.59815 \dots}

Divide the numbers:

\frac{1.5}{54.59815 \dots} = 0.02747 \dots

= 0.02747 \dots

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Frequently Asked Questions (FAQ)

What is 1.5e^{-2^2} ?
The solution to 1.5e^{-2^2} is 0.02747…