What is 293(1+(0.4)/2 (0.654)^2)^{-1} ?

The solution to 293(1+(0.4)/2 (0.654)^2)^{-1} is 269.91095…

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simplify 293(1+(0.4)/2 (0.654)^2)^{-1}

simplify

293 (1 + \frac{0.4}{2} (0.654)^{2})^{- 1}

269.91095 \dots

Solution steps

293 (1 + \frac{0.4}{2} (0.654)^{2})^{- 1}

Apply exponent rule:

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

= 293 \cdot \frac{1}{( 0.65 4 ^{2} \cdot \frac{0.4}{2} + 1 )}

\frac{1}{1 + \frac{0.4}{2} \cdot 0.65 4 ^{2}} = \frac{1}{1.0855432}

= 293 \cdot \frac{1}{1.0855432}

Multiply fractions:

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

= \frac{1 \cdot 293}{1.0855432}

Multiply the numbers:

1 \cdot 293 = 293

= \frac{293}{1.0855432}

Divide the numbers:

\frac{293}{1.0855432} = 269.91095 \dots

= 269.91095 \dots

e^{x^{2}} e^{- 2 x^{2}}

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(e)^{- 0}

2 \cdot e^{- l n (2)}

- 4 π \cdot 1 0^{- 7} \cdot 4

What is 293(1+(0.4)/2 (0.654)^2)^{-1} ?
The solution to 293(1+(0.4)/2 (0.654)^2)^{-1} is 269.91095…