What is 5x 1/56 x(6.022x10^{23})/1 ?

The solution to 5x 1/56 x(6.022x10^{23})/1 is (3011*2^{18}*5^{21}x^3)/7

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simplify 5x 1/56 x(6.022x10^{23})/1

simplify

5 x \frac{1}{56} x \frac{6.022 x 1 0 ^{23}}{1}

\frac{3011 \cdot 2 ^{18} \cdot 5 ^{21} x ^{3}}{7}

Solution steps

5 x \frac{1}{56} x \frac{6.022 x \cdot 1 0 ^{23}}{1}

Apply the fraction rule:

\frac{a}{1} = a

\frac{6.022 x \cdot 1 0 ^{23}}{1} = 6.022 x \cdot 1 0^{23}

= 5 x \frac{1}{56} x \cdot 6.022 x \cdot 1 0^{23}

6.022 = \frac{3011}{500}

= 5 x \frac{1}{56} x \frac{3011}{500} x \cdot 1 0^{23}

Apply the fraction rule:

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

= \frac{5 x \cdot 1 \cdot x \cdot 3011 x \cdot 1 0 ^{23}}{56 \cdot 500}

Multiply the numbers:

56 \cdot 500 = 28000

= \frac{5 x \cdot 1 \cdot x \cdot 3011 x \cdot 1 0 ^{23}}{28000}

Simplify

5 x \cdot 1 \cdot x \cdot 3011 x \cdot 1 0^{23} : 15055 x^{3} \cdot 1 0^{23}

= \frac{15055 x ^{3} \cdot 1 0 ^{23}}{28000}

Factor the number:

15055 = 5 \cdot 3011

= \frac{5 \cdot 3011 x ^{3} \cdot 1 0 ^{23}}{28000}

Factor the number:

28000 = 5 \cdot 5600

= \frac{5 \cdot 3011 x ^{3} \cdot 1 0 ^{23}}{5 \cdot 5600}

Cancel the common factor:

5

= \frac{3011 x ^{3} \cdot 1 0 ^{23}}{5600}

Factor

5600 : 1 0^{2} \cdot 56

= \frac{3011 x ^{3} \cdot 1 0 ^{23}}{1 0 ^{2} \cdot 56}

\frac{1 0 ^{23}}{1 0 ^{2}} = 1 0^{21}

= \frac{3011 x ^{3} \cdot 1 0 ^{21}}{56}

Factor

1 0^{21} : 2^{21} \cdot 5^{21}

= \frac{3011 x ^{3} \cdot 2 ^{21} \cdot 5 ^{21}}{56}

Factor

56 : 2^{3} \cdot 7

= \frac{3011 x ^{3} \cdot 2 ^{21} \cdot 5 ^{21}}{2 ^{3} \cdot 7}

\frac{2 ^{21}}{2 ^{3}} = 2^{18}

= \frac{3011 x ^{3} \cdot 2 ^{18} \cdot 5 ^{21}}{7}

= \frac{3011 \cdot 2 ^{18} \cdot 5 ^{21} x ^{3}}{7}

(4.2 \cdot 1 0^{- 45}) \cdot (1.5 \cdot 1 0^{- 46})

(3, 2) y (0, 1)

e^{- x^{2}} (\frac{3}{2} e^{2 x^{2}})

1.007 \cdot 1 0^{- 12}

What is 5x 1/56 x(6.022x10^{23})/1 ?
The solution to 5x 1/56 x(6.022x10^{23})/1 is (3011*2^{18}*5^{21}x^3)/7