What is 3000*4pi*10^{(-7)} ?

The solution to 3000*4pi*10^{(-7)} is (3pi)/(2500)

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simplify 30004pi10^{(-7)}

simplify

3000 \cdot 4 π \cdot 1 0^{(- 7)}

\frac{3 π}{2500}

Decimal Notation

0.00376 \dots

Solution steps

3000 \cdot 4 π 1 0^{(- 7)}

Apply exponent rule:

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

= 3000 \cdot 4 π \frac{1}{1 0 ^{7}}

Multiply fractions:

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

= \frac{1 \cdot 3000 \cdot 4 π}{1 0 ^{7}}

Multiply the numbers:

1 \cdot 3000 \cdot 4 = 12000

= \frac{12000 π}{1 0 ^{7}}

Factor

12000 : 2^{5} \cdot 5^{3} \cdot 3

Factor

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

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

Cancel

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

= \frac{3 π}{5 ^{4} \cdot 2 ^{2}}

5^{4} \cdot 2^{2} = 2500

= \frac{3 π}{2500}

5.8 \cdot 1 0^{- 2}

50

- w^{2} (5 w^{7})

e^{- \frac{1 ^{2}}{8}}