What is pi*(5*10^{-5}) ?

The solution to pi*(5*10^{-5}) is pi/(20000)

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simplify pi(510^{-5})

simplify

π \cdot (5 \cdot 1 0^{- 5})

\frac{π}{20000}

Decimal Notation

0.00015 \dots

Solution steps

π (5 \cdot 1 0^{- 5})

Apply exponent rule:

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

= 5 π \frac{1}{1 0 ^{5}}

Multiply fractions:

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

= \frac{1 π 5}{1 0 ^{5}}

Multiply the numbers:

1 \cdot 5 = 5

= \frac{5 π}{1 0 ^{5}}

Factor

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

= \frac{5 π}{2 ^{5} \cdot 5 ^{5}}

Cancel the common factor:

5

= \frac{π}{2 ^{5} \cdot 5 ^{4}}

2^{5} \cdot 5^{4} = 20000

= \frac{π}{20000}

6.6 \cdot 1 0^{- 34}

\frac{4 ^{2}}{2 !} \cdot e^{- 4}

10 \cdot 3.048 \cdot 1 0^{- 1}

9 \cdot 1.602 \cdot 1 0^{- 19}

220 \cdot 4.5 \cdot 1 0^{- 3}