What is 2pi(1.3*10^{-2}) ?

The solution to 2pi(1.3*10^{-2}) is 0.08168…

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simplify 2pi(1.3*10^{-2})

simplify

2 π (1.3 \cdot 1 0^{- 2})

0.08168 \dots

Solution steps

2 π (1.3 \cdot 1 0^{- 2})

Apply exponent rule:

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

= 2 \cdot 1.3 π \frac{1}{1 0 ^{2}}

Multiply fractions:

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

= 1.3 \cdot \frac{1 \cdot 2 π}{1 0 ^{2}}

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

= 1.3 \cdot \frac{π}{50}

Multiply fractions:

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

= \frac{π 1.3}{50}

Multiply the numbers:

3.14159 \dots \cdot 1.3 = 4.08407 \dots

= \frac{4.08407 \dots}{50}

Divide the numbers:

\frac{4.08407 \dots}{50} = 0.08168 \dots

= 0.08168 \dots

2 π \cdot 1 0^{0.5} \cdot e^{- (1 0^{0.5})^{2}}

(p^{2} q) (pq)

e^{- (\frac{4}{10})^{2}}

7.68 \cdot 1 0^{- 6}

180 \cdot 1.0 2^{- 1}