What is 3983*pi*102*10^{-3}*1510/6000 ?

The solution to 3983*pi*102*10^{-3}*1510/6000 is (10224361pi)/(100000)

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simplify 3983pi10210^{-3}1510/6000

simplify

3983 \cdot π \cdot 102 \cdot 1 0^{- 3} \cdot \frac{1510}{6000}

\frac{10224361 π}{100000}

Decimal Notation

321.20777 \dots

Solution steps

3983 π 102 \cdot 1 0^{- 3} \cdot \frac{1510}{6000}

Apply exponent rule:

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

= 3983 \cdot 102 π \frac{1}{1 0 ^{3}} \cdot \frac{1510}{6000}

\frac{1510}{6000} = \frac{151}{600}

= 3983 \cdot 102 π \frac{151}{600} \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{1 \cdot 151 \cdot 3983 π 102}{1 0 ^{3} \cdot 600}

Multiply the numbers:

1 \cdot 151 \cdot 3983 \cdot 102 = 61346166

= \frac{61346166 π}{1 0 ^{3} \cdot 600}

Cancel the common factor:

6

= \frac{10224361 π}{1 0 ^{3} \cdot 100}

1 0^{3} \cdot 100 = 100000

= \frac{10224361 π}{100000}

12.835 \cdot 1 0^{- 12} \cdot 0.07

- 6572 e^{- 0.3286 \cdot 3}

9.87 \cdot 1 0^{- 7}

(34.65 + 2.31) \cdot 1 0^{8} (0.224 \cdot 1 0^{- 3})

What is 3983*pi*102*10^{-3}*1510/6000 ?
The solution to 3983*pi*102*10^{-3}*1510/6000 is (10224361pi)/(100000)