What is 4pi*10^{-7}*20*1/(2*0.02) ?

The solution to 4pi*10^{-7}*20*1/(2*0.02) is pi/(5000)

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simplify 4pi10^{-7}201/(20.02)

simplify

4 π \cdot 1 0^{- 7} \cdot 20 \cdot \frac{1}{2 \cdot 0.02}

\frac{π}{5000}

Decimal Notation

0.00062 \dots

Solution steps

4 π 1 0^{- 7} \cdot 20 \cdot \frac{1}{2 \cdot 0.02}

Apply exponent rule:

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

= 4 \cdot 20 π \frac{1}{2 \cdot 0.02} \cdot \frac{1}{1 0 ^{7}}

Multiply the numbers:

2 \cdot 0.02 = 0.04

= 4 \cdot 20 π \frac{1}{0.04} \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 1 \cdot 4 π 20}{1 0 ^{7} \cdot 0.04}

Multiply the numbers:

1 \cdot 1 \cdot 4 \cdot 20 = 80

= \frac{80 π}{1 0 ^{7} \cdot 0.04}

Factor

80 : 2^{4} \cdot 5

Factor

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

= \frac{2 ^{4} \cdot 5 π}{2 ^{7} \cdot 5 ^{7} \cdot 0.04}

Cancel

\frac{2 ^{4} \cdot 5 π}{2 ^{7} \cdot 5 ^{7} \cdot 0.04} : \frac{π}{5 ^{6} \cdot 2 ^{3} \cdot 0.04}

= \frac{π}{5 ^{6} \cdot 2 ^{3} \cdot 0.04}

5^{6} \cdot 2^{3} \cdot 0.04 = 5000

= \frac{π}{5000}

(e^{0.5 x + 1})^{2}

(10) (8.85 x 1 0^{- 12}) cos (- 5 0^{\circ})

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

(5 a + 10 b)^{2} (5 a - 10 b)^{2}

What is 4pi*10^{-7}*20*1/(2*0.02) ?
The solution to 4pi*10^{-7}*20*1/(2*0.02) is pi/(5000)