What is 2pi(50)(500*10^{-3}) ?

The solution to 2pi(50)(500*10^{-3}) is 50pi

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simplify 2pi(50)(500*10^{-3})

simplify

2 π (50) (500 \cdot 1 0^{- 3})

50 π

Decimal Notation

157.07963 \dots

Solution steps

2 π (50) (500 \cdot 1 0^{- 3})

Apply exponent rule:

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

= 2 \cdot 50 \cdot 500 π \frac{1}{1 0 ^{3}}

Multiply fractions:

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

= \frac{1 \cdot 2 π 50 \cdot 500}{1 0 ^{3}}

Multiply the numbers:

1 \cdot 2 \cdot 50 \cdot 500 = 50000

= \frac{50000 π}{1 0 ^{3}}

Factor

50000 : 5^{5} \cdot 2^{4}

Factor

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

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

Cancel

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

= 5^{2} \cdot 2 π

5^{2} = 25

= 25 \cdot 2 π

Multiply the numbers:

25 \cdot 2 = 50

= 50 π

(1.08 \cdot 1 0^{- 3}) (9.3 \cdot 1 0^{- 3})

(1.51 \cdot 1 0^{23}) (1.77 \cdot 1 0^{- 17})

(h \circ h^{- 1}) (- 1)

6.40993609 e^{- 5}

(3 x + 1)^{2}