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Popular >

simplify e^{-3.7}*3.7^2

Solution

simplify

e^{- 3.7} \cdot 3. 7^{2}

Solution

0.33846 \dots

Solution steps

e^{- 3.7} \cdot 3. 7^{2}

Apply exponent rule:

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

= 3. 7^{2} \cdot \frac{1}{e ^{3.7}}

Multiply fractions:

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

= \frac{1 \cdot 3. 7 ^{2}}{e ^{3.7}}

Multiply:

1 \cdot 3. 7^{2} = 3. 7^{2}

= \frac{3. 7 ^{2}}{e ^{3.7}}

3. 7^{2} = 13.69

= \frac{13.69}{e ^{3.7}}

e^{3.7} = 40.44730 \dots

= \frac{13.69}{40.44730 \dots}

Divide the numbers:

\frac{13.69}{40.44730 \dots} = 0.33846 \dots

= 0.33846 \dots

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Frequently Asked Questions (FAQ)

What is e^{-3.7}*3.7^2 ?
The solution to e^{-3.7}*3.7^2 is 0.33846…