What is 1995*((1000)/(sqrt(418.8)))^{-1.6} ?

The solution to 1995*((1000)/(sqrt(418.8)))^{-1.6} is 3.95866…

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simplify 1995*((1000)/(sqrt(418.8)))^{-1.6}

simplify

1995 \cdot (\frac{1000}{418.8})^{- 1.6}

3.95866 \dots

Solution steps

1995 (\frac{1000}{418.8})^{- 1.6}

Apply exponent rule:

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

= 1995 \cdot \frac{1}{( \frac{1000}{418.8} ) ^{1.6}}

\frac{1}{( \frac{1000}{418.8} ) ^{1.6}} = \frac{418. 8 ^{0.8}}{100 0 ^{1.6}}

= 1995 \cdot \frac{418. 8 ^{0.8}}{100 0 ^{1.6}}

Multiply fractions:

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

= \frac{418. 8 ^{0.8} \cdot 1995}{100 0 ^{1.6}}

Factor

1995 : 3 \cdot 5 \cdot 7 \cdot 19

Factor

100 0^{1.6} : 2^{4.8} \cdot 5^{4.8}

= \frac{3 \cdot 5 \cdot 7 \cdot 19 \cdot 418. 8 ^{0.8}}{2 ^{4.8} \cdot 5 ^{4.8}}

Cancel

\frac{418. 8 ^{0.8} \cdot 3 \cdot 5 \cdot 7 \cdot 19}{2 ^{4.8} \cdot 5 ^{4.8}} : \frac{3 \cdot 7 \cdot 19 \cdot 418. 8 ^{0.8}}{2 ^{4.8} \cdot 5 ^{3.8}}

= \frac{3 \cdot 7 \cdot 19 \cdot 418. 8 ^{0.8}}{2 ^{4.8} \cdot 5 ^{3.8}}

Multiply the numbers:

3 \cdot 7 \cdot 19 = 399

= \frac{399 \cdot 418. 8 ^{0.8}}{2 ^{4.8} \cdot 5 ^{3.8}}

2^{4.8} = 27.85761 \dots

= \frac{399 \cdot 418. 8 ^{0.8}}{5 ^{3.8} \cdot 27.85761 \dots}

418. 8^{0.8} = 125.20029 \dots

= \frac{399 \cdot 125.20029 \dots}{5 ^{3.8} \cdot 27.85761 \dots}

5^{3.8} = 452.98728 \dots

= \frac{399 \cdot 125.20029 \dots}{27.85761 \dots \cdot 452.98728 \dots}

Multiply the numbers:

399 \cdot 125.20029 \dots = 49954.91612 \dots

= \frac{49954.91612 \dots}{27.85761 \dots \cdot 452.98728 \dots}

Multiply the numbers:

27.85761 \dots \cdot 452.98728 \dots = 12619.14688 \dots

= \frac{49954.91612 \dots}{12619.14688 \dots}

Divide the numbers:

\frac{49954.91612 \dots}{12619.14688 \dots} = 3.95866 \dots

= 3.95866 \dots

\frac{e ^{- 1}}{e ^{2}}

(e^{- x}) (\frac{10}{e ^{2 x}})

8 h m^{2445} d a m^{24} m^{2}

100 \cdot 1 0^{- 6} \cdot 20 (1.22856 - 0.6)^{2}

What is 1995*((1000)/(sqrt(418.8)))^{-1.6} ?
The solution to 1995*((1000)/(sqrt(418.8)))^{-1.6} is 3.95866…