What is 4pi*10^{-7}*(10)/(1.5) ?

The solution to 4pi*10^{-7}*(10)/(1.5) is pi/(375000)

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simplify 4pi10^{-7}(10)/(1.5)

simplify

4 π \cdot 1 0^{- 7} \cdot \frac{10}{1.5}

\frac{π}{375000}

Decimal Notation

8.37758 E - 6

Solution steps

4 π 1 0^{- 7} \cdot \frac{10}{1.5}

Apply exponent rule:

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

= 4 π \frac{10}{1.5} \cdot \frac{1}{1 0 ^{7}}

Multiply fractions:

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

= \frac{1 \cdot 10 \cdot 4 π}{1 0 ^{7} \cdot 1.5}

Multiply the numbers:

1 \cdot 10 \cdot 4 = 40

= \frac{40 π}{1 0 ^{7} \cdot 1.5}

Factor

40 : 2^{3} \cdot 5

Factor

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

= \frac{2 ^{3} \cdot 5 π}{2 ^{7} \cdot 5 ^{7} \cdot 1.5}

Cancel

\frac{2 ^{3} \cdot 5 π}{2 ^{7} \cdot 5 ^{7} \cdot 1.5} : \frac{π}{5 ^{6} \cdot 2 ^{4} \cdot 1.5}

= \frac{π}{5 ^{6} \cdot 2 ^{4} \cdot 1.5}

5^{6} \cdot 2^{4} \cdot 1.5 = 375000

= \frac{π}{375000}

\frac{d}{d x} (e^{x - y})

e^{- 1.64}

5 (2^{x} \cdot 5^{θ})

1.4 \cdot 1 0^{- 7}

e^{- 4 l n (6)}

What is 4pi*10^{-7}*(10)/(1.5) ?
The solution to 4pi*10^{-7}*(10)/(1.5) is pi/(375000)