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Popular >

simplify 3.5^2*e^{-3.5}

Solution

simplify

3. 5^{2} \cdot e^{- 3.5}

Solution

0.36991 \dots

Solution steps

3. 5^{2} e^{- 3.5}

Apply exponent rule:

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

= 3. 5^{2} \cdot \frac{1}{e ^{3.5}}

Multiply fractions:

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

= \frac{1 \cdot 3. 5 ^{2}}{e ^{3.5}}

Multiply:

1 \cdot 3. 5^{2} = 3. 5^{2}

= \frac{3. 5 ^{2}}{e ^{3.5}}

3. 5^{2} = 12.25

= \frac{12.25}{e ^{3.5}}

e^{3.5} = 33.11545 \dots

= \frac{12.25}{33.11545 \dots}

Divide the numbers:

\frac{12.25}{33.11545 \dots} = 0.36991 \dots

= 0.36991 \dots

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Frequently Asked Questions (FAQ)

What is 3.5^2*e^{-3.5} ?
The solution to 3.5^2*e^{-3.5} is 0.36991…