What is 0.22*1843(1+(4*1843)/(10^4))^{-0.5} ?

The solution to 0.22*1843(1+(4*1843)/(10^4))^{-0.5} is (20273)/(sqrt(4343))

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simplify 0.221843(1+(41843)/(10^4))^{-0.5}

simplify

0.22 \cdot 1843 (1 + \frac{4 \cdot 1843}{1 0 ^{4}})^{- 0.5}

\frac{20273}{4343}

Decimal Notation

307.62604 \dots

Solution steps

0.22 \cdot 1843 (1 + \frac{4 \cdot 1843}{1 0 ^{4}})^{- 0.5}

Multiply the numbers:

0.22 \cdot 1843 = 405.46

= 405.46 (1 + \frac{4 \cdot 1843}{1 0 ^{4}})^{- 0.5}

Apply exponent rule:

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

(1 + \frac{4 \cdot 1843}{1 0 ^{4}})^{- 0.5} = \frac{1}{( 1 + \frac{4 \cdot 1843}{1 0 ^{4}} ) ^{0.5}}

= 405.46 \cdot \frac{1}{( 1 + \frac{4 \cdot 1843}{1 0 ^{4}} ) ^{0.5}}

(1 + \frac{4 \cdot 1843}{1 0 ^{4}})^{0.5} = \frac{434 3 ^{\frac{1}{2}}}{50}

= 405.46 \cdot \frac{1}{\frac{434 3 ^{\frac{1}{2}}}{50}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= 405.46 \cdot \frac{50}{434 3 ^{\frac{1}{2}}}

405.46 \cdot \frac{50}{434 3 ^{\frac{1}{2}}} = \frac{20273}{434 3 ^{\frac{1}{2}}}

= \frac{20273}{434 3 ^{\frac{1}{2}}}

Apply exponent rule:

a^{\frac{1}{2}} = a

434 3^{\frac{1}{2}} = 4343

= \frac{20273}{4343}

(2.45 \cdot 1 1^{- 11}) 0.53

(e^{- 6})^{2}

y^{- 2} d y

\frac{a + b}{a - b} a^{2} - b^{2}

e^{5 t} \cdot e^{5}

What is 0.22*1843(1+(4*1843)/(10^4))^{-0.5} ?
The solution to 0.22*1843(1+(4*1843)/(10^4))^{-0.5} is (20273)/(sqrt(4343))