What is 2(200e^{-463/100})sqrt(40.75) ?

The solution to 2(200e^{-463/100})sqrt(40.75) is 24.90808…

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simplify 2(200e^{-463/100})sqrt(40.75)

simplify

2 (200 e^{- \frac{463}{100}}) 40.75

24.90808 \dots

Solution steps

2 (200 e^{- \frac{463}{100}}) 40.75

Apply exponent rule:

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

= 2 \cdot 200 40.75 \frac{1}{e ^{\frac{463}{100}}}

Multiply fractions:

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

= \frac{1 \cdot 2 \cdot 200 40.75}{e ^{\frac{463}{100}}}

Multiply the numbers:

1 \cdot 2 \cdot 200 = 400

= \frac{400 40.75}{e ^{\frac{463}{100}}}

Convert element to a decimal form

e^{\frac{463}{100}} = 102.51406 \dots

= \frac{400 40.75}{102.51406 \dots}

40.75 = 6.38357 \dots

= \frac{400 \cdot 6.38357 \dots}{102.51406 \dots}

Multiply the numbers:

400 \cdot 6.38357 \dots = 2553.42906 \dots

= \frac{2553.42906 \dots}{102.51406 \dots}

Divide the numbers:

\frac{2553.42906 \dots}{102.51406 \dots} = 24.90808 \dots

= 24.90808 \dots

e e^{0}

e e^{1}

(r^{2} sin^{2} (θ)) (2 r^{2} sin (θ))

(y^{2} - 4) (y^{2} - 4)

500 e^{- 1}

What is 2(200e^{-463/100})sqrt(40.75) ?
The solution to 2(200e^{-463/100})sqrt(40.75) is 24.90808…