What is 2pi(5000)(800*10^{-6}) ?

The solution to 2pi(5000)(800*10^{-6}) is 8pi

Popular >

simplify 2pi(5000)(800*10^{-6})

simplify

2 π (5000) (800 \cdot 1 0^{- 6})

8 π

Decimal Notation

25.13274 \dots

Solution steps

2 π (5000) (800 \cdot 1 0^{- 6})

Apply exponent rule:

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

= 2 \cdot 5000 \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 5000 \cdot 800}{1 0 ^{6}}

Multiply the numbers:

1 \cdot 2 \cdot 5000 \cdot 800 = 8000000

= \frac{8000000 π}{1 0 ^{6}}

Factor

8000000 : 2^{9} \cdot 5^{6}

Factor

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

= \frac{2 ^{9} \cdot 5 ^{6} π}{2 ^{6} \cdot 5 ^{6}}

Cancel

\frac{2 ^{9} \cdot 5 ^{6} π}{2 ^{6} \cdot 5 ^{6}} : 2^{3} π

= 2^{3} π

2^{3} = 8

= 8 π

W or l d^{70} He ll o

1 0^{- 1.45} \cdot 0.03

e^{- l n (1 + x^{2})}

\frac{e ^{4 x}}{4} \cdot e^{- x}

(12 x (- x + 1)^{2}) (12 y (- y + 1)^{2})