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Popular >

simplify 510^{-5}pi

Solution

simplify

5 \cdot 1 0^{- 5} \cdot π

Solution

\frac{π}{20000}

+1

Decimal Notation

0.00015 \dots

Solution steps

5 \cdot 1 0^{- 5} π

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 \cdot 5 π}{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}

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Frequently Asked Questions (FAQ)

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