What is 0.08*5000(1+(2*5000)/(10^4))^{-0.5} ?

The solution to 0.08*5000(1+(2*5000)/(10^4))^{-0.5} is (400)/(2^{0.5)}

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simplify 0.085000(1+(25000)/(10^4))^{-0.5}

simplify

0.08 \cdot 5000 (1 + \frac{2 \cdot 5000}{1 0 ^{4}})^{- 0.5}

\frac{400}{2 ^{0.5}}

Decimal Notation

282.84271 \dots

Solution steps

0.08 \cdot 5000 (1 + \frac{2 \cdot 5000}{1 0 ^{4}})^{- 0.5}

Multiply the numbers:

0.08 \cdot 5000 = 400

= 400 (1 + \frac{2 \cdot 5000}{1 0 ^{4}})^{- 0.5}

Apply exponent rule:

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

(1 + \frac{2 \cdot 5000}{1 0 ^{4}})^{- 0.5} = \frac{1}{( 1 + \frac{2 \cdot 5000}{1 0 ^{4}} ) ^{0.5}}

= 400 \cdot \frac{1}{( 1 + \frac{2 \cdot 5000}{1 0 ^{4}} ) ^{0.5}}

1 + \frac{2 \cdot 5000}{1 0 ^{4}} = 2

= 400 \cdot \frac{1}{2 ^{0.5}}

400 \cdot \frac{1}{2 ^{0.5}} = \frac{400}{2 ^{0.5}}

= \frac{400}{2 ^{0.5}}

2.7 \times 1 0^{- 3}

1 + e^{x} \cdot 1 + \frac{e ^{2 x}}{4 ( 1 + e ^{x} )}

(- 144)^{- \frac{3}{2}}

(\frac{2}{3})^{- 5^{^{'}}}

2 x (e^{- x})

What is 0.08*5000(1+(2*5000)/(10^4))^{-0.5} ?
The solution to 0.08*5000(1+(2*5000)/(10^4))^{-0.5} is (400)/(2^{0.5)}