What is (5000pi)/(0.3)*10^{-7} ?

The solution to (5000pi)/(0.3)*10^{-7} is pi/(600)

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simplify (5000pi)/(0.3)*10^{-7}

simplify

\frac{5000 π}{0.3} \cdot 1 0^{- 7}

\frac{π}{600}

Decimal Notation

0.00523 \dots

Solution steps

\frac{5000 π}{0.3} \cdot 1 0^{- 7}

Apply exponent rule:

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

= \frac{1}{1 0 ^{7}} \cdot \frac{5000 π}{0.3}

Multiply fractions:

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

= \frac{5000 π 1}{0.3 \cdot 1 0 ^{7}}

Multiply the numbers:

5000 \cdot 1 = 5000

= \frac{5000 π}{1 0 ^{7} \cdot 0.3}

Factor

5000 : 5^{4} \cdot 2^{3}

Factor

1 0^{7} : 2^{7} \cdot 5^{7}

= \frac{5 ^{4} \cdot 2 ^{3} π}{2 ^{7} \cdot 5 ^{7} \cdot 0.3}

Cancel

\frac{2 ^{3} \cdot 5 ^{4} π}{0.3 \cdot 2 ^{7} \cdot 5 ^{7}} : \frac{π}{2 ^{4} \cdot 5 ^{3} \cdot 0.3}

= \frac{π}{2 ^{4} \cdot 5 ^{3} \cdot 0.3}

2^{4} \cdot 5^{3} \cdot 0.3 = 600

= \frac{π}{600}

e^{x} e^{c}

6.67 \cdot 1 0^{- 11} \cdot \frac{5.9722 \cdot 1 0 ^{24}}{6371}

72400 \cdot \frac{( 1 + 0.053 ) ^{15}}{( 1 + 0.042 ) ^{15}}

e^{- 1} (e^{x})

e^{- t} e^{- l n (t)}

What is (5000pi)/(0.3)*10^{-7} ?
The solution to (5000pi)/(0.3)*10^{-7} is pi/(600)