What is (4pi*10^{-7}*2500)*(1.8*10^{-3}) ?

The solution to (4pi*10^{-7}*2500)*(1.8*10^{-3}) is 5.65487E-6

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simplify (4pi10^{-7}2500)(1.810^{-3})

simplify

(4 π \cdot 1 0^{- 7} \cdot 2500) \cdot (1.8 \cdot 1 0^{- 3})

5.65487 E - 6

Solution steps

(4 π 1 0^{- 7} \cdot 2500) (1.8 \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 2500 \cdot 1.8 \cdot 1 0^{- 7 - 3}

Subtract the numbers:

- 7 - 3 = - 10

= 4 π 2500 \cdot 1.8 \cdot 1 0^{- 10}

Apply exponent rule:

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

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

= 4 \cdot 2500 \cdot 1.8 π \frac{1}{1 0 ^{10}}

Multiply fractions:

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

= 1.8 \cdot \frac{1 \cdot 4 \cdot 2500 π}{1 0 ^{10}}

\frac{1 \cdot 4 π 2500}{1 0 ^{10}} = \frac{π}{1000000}

= 1.8 \cdot \frac{π}{1000000}

Multiply fractions:

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

= \frac{π 1.8}{1000000}

Multiply the numbers:

3.14159 \dots \cdot 1.8 = 5.65486 \dots

= \frac{5.65486 \dots}{1000000}

Divide the numbers:

\frac{5.65486 \dots}{1000000} = 5.65487 E - 6

= 5.65487 E - 6

1.06 \cdot 1 0^{- 10}

10 π 1 0^{9} 2.81 \cdot 1 0^{- 17} (1) - 1

e^{- 500000}

5 r^{2} s^{2} (r - 3 s)

10000 (1 + 0.03)^{(- 16)}

What is (4pi*10^{-7}*2500)*(1.8*10^{-3}) ?
The solution to (4pi*10^{-7}*2500)*(1.8*10^{-3}) is 5.65487E-6