What is 2pi*60*40*10^{-6} ?

The solution to 2pi*60*40*10^{-6} is (3pi)/(625)

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simplify 2pi6040*10^{-6}

simplify

2 π \cdot 60 \cdot 40 \cdot 1 0^{- 6}

\frac{3 π}{625}

Decimal Notation

0.01507 \dots

Solution steps

2 π 60 \cdot 40 \cdot 1 0^{- 6}

Apply exponent rule:

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

= 2 \cdot 60 \cdot 40 π \frac{1}{1 0 ^{6}}

Multiply fractions:

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

= \frac{1 \cdot 2 π 60 \cdot 40}{1 0 ^{6}}

Multiply the numbers:

1 \cdot 2 \cdot 60 \cdot 40 = 4800

= \frac{4800 π}{1 0 ^{6}}

Factor

4800 : 2^{6} \cdot 5^{2} \cdot 3

Factor

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

= \frac{2 ^{6} \cdot 5 ^{2} \cdot 3 π}{2 ^{6} \cdot 5 ^{6}}

Cancel

\frac{2 ^{6} \cdot 3 \cdot 5 ^{2} π}{2 ^{6} \cdot 5 ^{6}} : \frac{3 π}{5 ^{4}}

= \frac{3 π}{5 ^{4}}

5^{4} = 625

= \frac{3 π}{625}

- (2 x) (4 x^{2})

\frac{n ^{n}}{( 2 e ) ^{n}}

40 e^{- (6)}

2.4 \cdot 1 0^{- 1}

(4 + x^{3})^{2} y^{2}