What is 120pi*5*10^{-3} ?

The solution to 120pi*5*10^{-3} is (3pi)/5

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simplify 120pi510^{-3}

simplify

120 π \cdot 5 \cdot 1 0^{- 3}

\frac{3 π}{5}

Decimal Notation

1.88495 \dots

Solution steps

120 π 5 \cdot 1 0^{- 3}

Apply exponent rule:

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

= 120 \cdot 5 π \frac{1}{1 0 ^{3}}

Multiply fractions:

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

= \frac{1 \cdot 120 π 5}{1 0 ^{3}}

Multiply the numbers:

1 \cdot 120 \cdot 5 = 600

= \frac{600 π}{1 0 ^{3}}

Factor

600 : 2^{3} \cdot 5^{2} \cdot 3

Factor

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

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

Cancel

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

= \frac{3 π}{5}

24 x^{2} (a - x)^{2}

2 \cdot 3.14 \cdot (6.67 \cdot 1 0^{- 6}) \cdot 150 (2.67 - 1.17)

0.2 \cdot 7.238 \cdot 1 0^{- 15}

(8 \cdot 1 0^{- 3}) \cdot (0.0002)