What is (2*5)/pi (8*10^{-3}) ?

The solution to (2*5)/pi (8*10^{-3}) is 2/(25pi)

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simplify (25)/pi (810^{-3})

simplify

\frac{2 \cdot 5}{π} (8 \cdot 1 0^{- 3})

\frac{2}{25 π}

Decimal Notation

0.02546 \dots

Solution steps

\frac{2 \cdot 5}{π} (8 \cdot 1 0^{- 3})

Apply exponent rule:

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

= 8 \cdot \frac{2 \cdot 5}{π} \cdot \frac{1}{1 0 ^{3}}

Multiply the numbers:

2 \cdot 5 = 10

= 8 \cdot \frac{10}{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{10 \cdot 1 \cdot 8}{π 1 0 ^{3}}

Multiply the numbers:

10 \cdot 1 \cdot 8 = 80

= \frac{80}{1 0 ^{3} π}

Factor

80 : 2^{4} \cdot 5

Factor

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

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

Cancel

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

= \frac{2}{5 ^{2} π}

5^{2} = 25

= \frac{2}{25 π}

2 \cdot 2 e^{- 2^{2}}

4 e^{- x} e^{5 x}

x (x - 1)^{2} (x - 2)^{2} (x - 3)

4 \cdot 0.1 3^{2} \cdot (1 - 0.13)^{3} \cdot 0.13

(x^{2})^{- 3}