What is (4pi*9*10^4*3.14*10^{-4})/(0.25)*10^{-3} ?

The solution to (4pi*9*10^4*3.14*10^{-4})/(0.25)*10^{-3} is 1.42050…

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simplify (4pi910^43.1410^{-4})/(0.25)*10^{-3}

simplify

\frac{4 π \cdot 9 \cdot 1 0 ^{4} \cdot 3.14 \cdot 1 0 ^{- 4}}{0.25} \cdot 1 0^{- 3}

1.42050 \dots

Solution steps

\frac{4 π 9 \cdot 1 0 ^{4} \cdot 3.14 \cdot 1 0 ^{- 4}}{0.25} \cdot 1 0^{- 3}

Apply exponent rule:

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

= \frac{1}{1 0 ^{3}} \cdot \frac{1 0 ^{- 4} \cdot 1 0 ^{4} \cdot 4 \cdot 9 \cdot 3.14 π}{0.25}

\frac{4 π 9 \cdot 1 0 ^{4} \cdot 3.14 \cdot 1 0 ^{- 4}}{0.25} = \frac{113.04 π}{0.25}

= \frac{1}{1 0 ^{3}} \cdot \frac{113.04 π}{0.25}

Multiply fractions:

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

= \frac{113.04 π 1}{0.25 \cdot 1 0 ^{3}}

Multiply the numbers:

113.04 \cdot 1 = 113.04

= \frac{113.04 π}{1 0 ^{3} \cdot 0.25}

0.25 \cdot 1 0^{3} = 250

= \frac{113.04 π}{250}

Multiply the numbers:

113.04 \cdot 3.14159 \dots = 355.12563 \dots

= \frac{355.12563 \dots}{250}

Divide the numbers:

\frac{355.12563 \dots}{250} = 1.42050 \dots

= 1.42050 \dots

7.84 \cdot 1 0^{- 7} \cdot (100 0^{2} - 25 0^{2}) \cdot 0.4 \cdot 160.17

- 25 e^{- 0.2 (10)}

x^{2} (m x)

(3 q^{2} r^{2}) (3 q^{5} r^{3})

4.6 \cdot 1 0^{- 6}

What is (4pi*9*10^4*3.14*10^{-4})/(0.25)*10^{-3} ?
The solution to (4pi*9*10^4*3.14*10^{-4})/(0.25)*10^{-3} is 1.42050…