What is 64.96\times 10^{-6}\times 2pi\times 50 ?

The solution to 64.96\times 10^{-6}\times 2pi\times 50 is 0.02040…

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simplify 64.96\times 10^{-6}\times 2pi\times 50

simplify

64.96 \cdot 1 0^{- 6} \cdot 2 π \cdot 50

0.02040 \dots

Solution steps

64.96 \cdot 1 0^{- 6} \cdot 2 π 50

Apply exponent rule:

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

= 2 \cdot 50 \cdot 64.96 π \frac{1}{1 0 ^{6}}

Multiply fractions:

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

= 64.96 \cdot \frac{1 \cdot 2 \cdot 50 π}{1 0 ^{6}}

\frac{1 \cdot 2 π 50}{1 0 ^{6}} = \frac{π}{10000}

= 64.96 \cdot \frac{π}{10000}

Multiply fractions:

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

= \frac{π 64.96}{10000}

Multiply the numbers:

3.14159 \dots \cdot 64.96 = 204.07785 \dots

= \frac{204.07785 \dots}{10000}

Divide the numbers:

\frac{204.07785 \dots}{10000} = 0.02040 \dots

= 0.02040 \dots

12 2^{10}

π \cdot 2 π

\frac{e ^{- 3 x}}{e ^{- 3 x}}

e^{\frac{1}{2} x} \times e^{\frac{1}{2} x}

6 2^{4} \cdot 5 2^{3}

What is 64.96\times 10^{-6}\times 2pi\times 50 ?
The solution to 64.96\times 10^{-6}\times 2pi\times 50 is 0.02040…