What is 225*10^{-6}(1600)/pi*1/6 ?

The solution to 225*10^{-6}(1600)/pi*1/6 is 3/(50pi)

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simplify 22510^{-6}(1600)/pi1/6

simplify

225 \cdot 1 0^{- 6} \frac{1600}{π} \cdot \frac{1}{6}

\frac{3}{50 π}

Decimal Notation

0.01909 \dots

Solution steps

225 \cdot 1 0^{- 6} \cdot \frac{1600}{π} \cdot \frac{1}{6}

Apply exponent rule:

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

= 225 \cdot \frac{1}{6} \cdot \frac{1600}{π} \cdot \frac{1}{1 0 ^{6}}

Multiply fractions:

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

= \frac{1 \cdot 1600 \cdot 1 \cdot 225}{1 0 ^{6} π 6}

Multiply the numbers:

1 \cdot 1600 \cdot 1 \cdot 225 = 360000

= \frac{360000}{1 0 ^{6} \cdot 6 π}

Divide the numbers:

\frac{360000}{6} = 60000

= \frac{60000}{1 0 ^{6} π}

Factor

60000 : 2^{5} \cdot 5^{4} \cdot 3

Factor

1 0^{6} : 2^{6} \cdot 5^{6}

= \frac{2 ^{5} \cdot 5 ^{4} \cdot 3}{2 ^{6} \cdot 5 ^{6} π}

Cancel

\frac{2 ^{5} \cdot 3 \cdot 5 ^{4}}{2 ^{6} \cdot 5 ^{6} π} : \frac{3}{5 ^{2} \cdot 2 π}

= \frac{3}{5 ^{2} \cdot 2 π}

5^{2} \cdot 2 π = 50 π

= \frac{3}{50 π}

(12 a c^{2} b) \cdot (12 a x c^{2})

- (a - 1)^{3} \cdot (a + 1)^{3}

e^{- 22495.8282}

(2 cos (x))^{2}

\frac{1}{2} \cdot \frac{20}{32.2} (20 \cdot 1)^{2}

What is 225*10^{-6}(1600)/pi*1/6 ?
The solution to 225*10^{-6}(1600)/pi*1/6 is 3/(50pi)