What is 4pi*10^{-7}*(2.4*10^{-3}) ?

The solution to 4pi*10^{-7}*(2.4*10^{-3}) is 3.01593E-9

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simplify 4pi10^{-7}(2.4*10^{-3})

simplify

4 π \cdot 1 0^{- 7} \cdot (2.4 \cdot 1 0^{- 3})

3.01593 E - 9

Solution steps

4 π 1 0^{- 7} (2.4 \cdot 1 0^{- 3})

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

1 0^{- 7} \cdot 1 0^{- 3} = 1 0^{- 7 - 3}

= 4 π 2.4 \cdot 1 0^{- 7 - 3}

Subtract the numbers:

- 7 - 3 = - 10

= 4 π 2.4 \cdot 1 0^{- 10}

Apply exponent rule:

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

1 0^{- 10} = \frac{1}{1 0 ^{10}}

= 4 \cdot 2.4 π \frac{1}{1 0 ^{10}}

Multiply fractions:

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

= 2.4 \cdot \frac{1 \cdot 4 π}{1 0 ^{10}}

\frac{1 \cdot 4 π}{1 0 ^{10}} = \frac{π}{2500000000}

= 2.4 \cdot \frac{π}{2500000000}

Multiply fractions:

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

= \frac{π 2.4}{2500000000}

Multiply the numbers:

3.14159 \dots \cdot 2.4 = 7.53982 \dots

= \frac{7.53982 \dots}{2500000000}

Divide the numbers:

\frac{7.53982 \dots}{2500000000} = 3.01593 E - 9

= 3.01593 E - 9

4 π^{2} (1.8 s^{- 1})^{2} [1130 k g + 4 (72.4 k g)]

\frac{1}{( 2.5 \cdot 1 0 ^{- 5} ) ^{2}} \cdot (- 1) \cdot 1 0^{- 10}

(5 x - 3)^{2} (2 - x^{4})^{2}

(\frac{2}{3} u^{- \frac{1}{3}} u^{'}) \cdot \frac{3}{2} u^{\frac{1}{3}}

What is 4pi*10^{-7}*(2.4*10^{-3}) ?
The solution to 4pi*10^{-7}*(2.4*10^{-3}) is 3.01593E-9