What is 0.06*1843(1+(1.5*1843)/(10^3))^{-0.5} ?

The solution to 0.06*1843(1+(1.5*1843)/(10^3))^{-0.5} is (5529)/(50*3.7645^{0.5)}

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simplify 0.061843(1+(1.51843)/(10^3))^{-0.5}

simplify

0.06 \cdot 1843 (1 + \frac{1.5 \cdot 1843}{1 0 ^{3}})^{- 0.5}

\frac{5529}{50 \cdot 3.764 5 ^{0.5}}

Decimal Notation

56.99318 \dots

Solution steps

0.06 \cdot 1843 (1 + \frac{1.5 \cdot 1843}{1 0 ^{3}})^{- 0.5}

Multiply the numbers:

0.06 \cdot 1843 = 110.58

= 110.58 (1 + \frac{1.5 \cdot 1843}{1 0 ^{3}})^{- 0.5}

Apply exponent rule:

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

(1 + \frac{1.5 \cdot 1843}{1 0 ^{3}})^{- 0.5} = \frac{1}{( 1 + \frac{1.5 \cdot 1843}{1 0 ^{3}} ) ^{0.5}}

= 110.58 \cdot \frac{1}{( 1 + \frac{1.5 \cdot 1843}{1 0 ^{3}} ) ^{0.5}}

1 + \frac{1.5 \cdot 1843}{1 0 ^{3}} = 3.7645

= 110.58 \cdot \frac{1}{3.764 5 ^{0.5}}

110.58 \cdot \frac{1}{3.764 5 ^{0.5}} = \frac{110.58}{3.764 5 ^{0.5}}

= \frac{110.58}{3.764 5 ^{0.5}}

\frac{110.58}{3.764 5 ^{0.5}} = \frac{11058}{100 \cdot 3.764 5 ^{0.5}}

= \frac{11058}{100 \cdot 3.764 5 ^{0.5}}

Factor the number:

11058 = 2 \cdot 5529

= \frac{2 \cdot 5529}{100 \cdot 3.764 5 ^{0.5}}

Factor the number:

100 = 2 \cdot 50

= \frac{2 \cdot 5529}{2 \cdot 50 \cdot 3.764 5 ^{0.5}}

Cancel the common factor:

2

= \frac{5529}{50 \cdot 3.764 5 ^{0.5}}

x^{2} + 1^{2}

(1.3 \cdot 1 0^{- 3}) \cdot (2.24 \cdot 1 0^{4})

(e^{9 x})^{2}

x^{2} (x - 3)^{2}

e^{2 y}

What is 0.06*1843(1+(1.5*1843)/(10^3))^{-0.5} ?
The solution to 0.06*1843(1+(1.5*1843)/(10^3))^{-0.5} is (5529)/(50*3.7645^{0.5)}