What is (1/530*10^{-3})/(540*10^{-9)} ?

The solution to (1/530*10^{-3})/(540*10^{-9)} is 5000/1431

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simplify (1/53010^{-3})/(54010^{-9)}

simplify

\frac{\frac{1}{530} \cdot 1 0 ^{- 3}}{540 \cdot 1 0 ^{- 9}}

\frac{5000}{1431}

Decimal Notation

3.49406 \dots

Solution steps

\frac{\frac{1}{530} \cdot 1 0 ^{- 3}}{540 \cdot 1 0 ^{- 9}}

\frac{1 0 ^{- 3}}{1 0 ^{- 9}} = 1 0^{6}

= \frac{\frac{1}{530} \cdot 1 0 ^{6}}{540}

Factor the number:

540 = 10 \cdot 54

= \frac{\frac{1}{530} \cdot 1 0 ^{6}}{10 \cdot 54}

\frac{1 0 ^{6}}{10} = 1 0^{5}

= \frac{\frac{1}{530} \cdot 1 0 ^{5}}{54}

Factor

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

= \frac{\frac{1}{530} \cdot 2 ^{5} \cdot 5 ^{5}}{54}

Factor the number:

54 = 2 \cdot 27

= \frac{\frac{1}{530} \cdot 2 ^{5} \cdot 5 ^{5}}{2 \cdot 27}

\frac{2 ^{5}}{2} = 2^{4}

= \frac{\frac{1}{530} \cdot 2 ^{4} \cdot 5 ^{5}}{27}

\frac{\frac{1}{530} \cdot 2 ^{4} \cdot 5 ^{5}}{27} = \frac{5000}{1431}

= \frac{5000}{1431}

lo g_{7} (\frac{1}{49}) = - 2

14 v \leq 14

5 x^{- 2}

(x - 3)^{2} = 32

\frac{4 ( x - 4 )}{3} - 3 x = x

What is (1/530*10^{-3})/(540*10^{-9)} ?
The solution to (1/530*10^{-3})/(540*10^{-9)} is 5000/1431