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Popular >

simplify 4.5^2*e^{-4.5}

Solution

simplify

4. 5^{2} \cdot e^{- 4.5}

Solution

0.22495 \dots

Solution steps

4. 5^{2} e^{- 4.5}

Apply exponent rule:

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

= 4. 5^{2} \cdot \frac{1}{e ^{4.5}}

Multiply fractions:

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

= \frac{1 \cdot 4. 5 ^{2}}{e ^{4.5}}

Multiply:

1 \cdot 4. 5^{2} = 4. 5^{2}

= \frac{4. 5 ^{2}}{e ^{4.5}}

4. 5^{2} = 20.25

= \frac{20.25}{e ^{4.5}}

e^{4.5} = 90.01713 \dots

= \frac{20.25}{90.01713 \dots}

Divide the numbers:

\frac{20.25}{90.01713 \dots} = 0.22495 \dots

= 0.22495 \dots

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Frequently Asked Questions (FAQ)

What is 4.5^2*e^{-4.5} ?
The solution to 4.5^2*e^{-4.5} is 0.22495…