What is 25*pi*10^{-4} ?

The solution to 25*pi*10^{-4} is pi/(400)

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simplify 25pi10^{-4}

simplify

25 \cdot π \cdot 1 0^{- 4}

\frac{π}{400}

Solution steps

25 π 1 0^{- 4}

Apply exponent rule:

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

= 25 π \frac{1}{1 0 ^{4}}

Multiply fractions:

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

= \frac{1 \cdot 25 π}{1 0 ^{4}}

Multiply the numbers:

1 \cdot 25 = 25

= \frac{25 π}{1 0 ^{4}}

Factor

25 : 5^{2}

Factor

1 0^{4} : 2^{4} \cdot 5^{4}

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

Cancel

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

= \frac{π}{2 ^{4} \cdot 5 ^{2}}

2^{4} \cdot 5^{2} = 400

= \frac{π}{400}

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