What is 1.0672*10*(4pi*10^{-7}) ?

The solution to 1.0672*10*(4pi*10^{-7}) is 0.00001…

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simplify 1.067210(4pi*10^{-7})

simplify

1.0672 \cdot 10 \cdot (4 π \cdot 1 0^{- 7})

0.00001 \dots

Solution steps

1.0672 \cdot 10 (4 π 1 0^{- 7})

Apply exponent rule:

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

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

= 1.0672 \cdot 4 π 1 0^{1 - 7}

Subtract the numbers:

1 - 7 = - 6

= 1.0672 \cdot 4 π 1 0^{- 6}

Apply exponent rule:

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

1 0^{- 6} = \frac{1}{1 0 ^{6}}

= 4 \cdot 1.0672 π \frac{1}{1 0 ^{6}}

Multiply fractions:

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

= 1.0672 \cdot \frac{1 \cdot 4 π}{1 0 ^{6}}

\frac{1 \cdot 4 π}{1 0 ^{6}} = \frac{π}{250000}

= 1.0672 \cdot \frac{π}{250000}

Multiply fractions:

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

= \frac{π 1.0672}{250000}

Multiply the numbers:

3.14159 \dots \cdot 1.0672 = 3.35270 \dots

= \frac{3.35270 \dots}{250000}

Divide the numbers:

\frac{3.35270 \dots}{250000} = 0.00001 \dots

= 0.00001 \dots

\frac{1}{2} (3) (33)

e^{- 2 (1.5)}

1.23 \cdot 1 0^{- 2}

1.23 \cdot 1 0^{- 3}

[(3^{2})^{2}]^{4}

What is 1.0672*10*(4pi*10^{-7}) ?
The solution to 1.0672*10*(4pi*10^{-7}) is 0.00001…