What is 2pi*50*5.4*10^{-3}*15.4^2 ?

The solution to 2pi*50*5.4*10^{-3}*15.4^2 is 402.33246…

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simplify 2pi505.410^{-3}15.4^2

simplify

2 π \cdot 50 \cdot 5.4 \cdot 1 0^{- 3} \cdot 15. 4^{2}

402.33246 \dots

Solution steps

2 π 50 \cdot 5.4 \cdot 1 0^{- 3} \cdot 15. 4^{2}

Apply exponent rule:

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

= 2 \cdot 50 \cdot 5.4 \cdot 15. 4^{2} π \frac{1}{1 0 ^{3}}

Multiply fractions:

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

= 5.4 \cdot \frac{1 \cdot 2 \cdot 50 \cdot 15. 4 ^{2} π}{1 0 ^{3}}

\frac{1 \cdot 2 π 50 \cdot 15. 4 ^{2}}{1 0 ^{3}} = 74.50601 \dots

= 5.4 \cdot 74.50601 \dots

Multiply the numbers:

5.4 \cdot 74.50601 \dots = 402.33246 \dots

= 402.33246 \dots

50 \cdot 1 0^{- 3} \cdot 2.5 \cdot 6

1000 \cdot 4 π \cdot 1 0^{- 7} \cdot 400 0^{2} \cdot 0.0 2^{2}

e^{4 x}

(\frac{1}{x ^{2} ( 1 - e ^{- 2 x} )}) (x^{3} e^{- x})

e^{- 30} \frac{1}{1}

What is 2pi*50*5.4*10^{-3}*15.4^2 ?
The solution to 2pi*50*5.4*10^{-3}*15.4^2 is 402.33246…