What is 2pi(2000)(800*10^{-6}) ?

The solution to 2pi(2000)(800*10^{-6}) is (16pi)/5

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simplify 2pi(2000)(800*10^{-6})

simplify

2 π (2000) (800 \cdot 1 0^{- 6})

\frac{16 π}{5}

Decimal Notation

10.05309 \dots

Solution steps

2 π (2000) (800 \cdot 1 0^{- 6})

Apply exponent rule:

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

= 2 \cdot 2000 \cdot 800 π \frac{1}{1 0 ^{6}}

Multiply fractions:

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

= \frac{1 \cdot 2 π 2000 \cdot 800}{1 0 ^{6}}

Multiply the numbers:

1 \cdot 2 \cdot 2000 \cdot 800 = 3200000

= \frac{3200000 π}{1 0 ^{6}}

Factor

3200000 : 2^{10} \cdot 5^{5}

Factor

1 0^{6} : 2^{6} \cdot 5^{6}

= \frac{2 ^{10} \cdot 5 ^{5} π}{2 ^{6} \cdot 5 ^{6}}

Cancel

\frac{2 ^{10} \cdot 5 ^{5} π}{2 ^{6} \cdot 5 ^{6}} : \frac{2 ^{4} π}{5}

= \frac{2 ^{4} π}{5}

2^{4} = 16

= \frac{16 π}{5}

(2.5 h^{4}) (4 h^{4})

(2 x yz) (x^{2} y^{2})

4.6 \cdot 6 \cdot 1 0^{- 6}

\frac{( - 36 )}{6}

(35) (52)

What is 2pi(2000)(800*10^{-6}) ?
The solution to 2pi(2000)(800*10^{-6}) is (16pi)/5