What is (4pi*10^{-7})*2500 ?

The solution to (4pi*10^{-7})*2500 is pi/(1000)

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simplify (4pi10^{-7})2500

simplify

(4 π \cdot 1 0^{- 7}) \cdot 2500

\frac{π}{1000}

Decimal Notation

0.00314 \dots

Solution steps

(4 π 1 0^{- 7}) \cdot 2500

Apply exponent rule:

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

= 4 \cdot 2500 π \frac{1}{1 0 ^{7}}

Multiply fractions:

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

= \frac{1 \cdot 4 π 2500}{1 0 ^{7}}

Multiply the numbers:

1 \cdot 4 \cdot 2500 = 10000

= \frac{10000 π}{1 0 ^{7}}

Factor

10000 : 2^{4} \cdot 5^{4}

Factor

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

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

Cancel

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

= \frac{π}{2 ^{3} \cdot 5 ^{3}}

2^{3} \cdot 5^{3} = 1000

= \frac{π}{1000}

370.85 \cdot (100)^{- 0.9765}

- e^{- t s} \frac{1}{t} sinh (4 t)

4.25 \cdot 1 0^{- 9}

(x^{6} y^{5}) (x^{3} y^{7})