What is 2pi*(50)/pi*50*10^{-3} ?

The solution to 2pi*(50)/pi*50*10^{-3} is 5

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simplify 2pi(50)/pi50*10^{-3}

simplify

2 π \cdot \frac{50}{π} \cdot 50 \cdot 1 0^{- 3}

5

Solution steps

2 π \frac{50}{π} \cdot 50 \cdot 1 0^{- 3}

Apply exponent rule:

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

= 2 \cdot 50 π \frac{50}{π} \cdot \frac{1}{1 0 ^{3}}

Multiply fractions:

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

= \frac{50 \cdot 1 \cdot 2 π 50}{π 1 0 ^{3}}

Cancel the common factor:

π

= \frac{50 \cdot 1 \cdot 2 \cdot 50}{1 0 ^{3}}

Multiply the numbers:

50 \cdot 1 \cdot 2 \cdot 50 = 5000

= \frac{5000}{1 0 ^{3}}

Factor

5000 : 5^{4} \cdot 2^{3}

Factor

1 0^{3} : 2^{3} \cdot 5^{3}

= \frac{5 ^{4} \cdot 2 ^{3}}{2 ^{3} \cdot 5 ^{3}}

Cancel

\frac{2 ^{3} \cdot 5 ^{4}}{2 ^{3} \cdot 5 ^{3}} : 5

= 5

1.9 6^{2} \cdot 0.5 \cdot 0.5 \cdot 215

\frac{d}{d h} ((x) (2 h (P (x, h) - h)))

e^{- 0.05 \cdot 23.1049}

e^{- r (t - t)} \cdot e^{(3 S^{2} + 3 (r - D))}