Skillnad mellan versioner av "1.5 Lösning 1b"

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m (Created page with "<math> {2\,x^{-5} \over 3\,x^{-8}} \cdot (2\,x)^{-1} = {2\,x^{-5-(-8)} \over 3} \cdot (2\,x)^{-1} = {2\,x^{-5+8} \over 3} \cdot (2\,x)^{-1} = {2\,x^3 \over 3} \cdot (2\,x)^{-1} =...")
 
m
Rad 1: Rad 1:
<math> {2\,x^{-5} \over 3\,x^{-8}} \cdot (2\,x)^{-1} = {2\,x^{-5-(-8)} \over 3} \cdot (2\,x)^{-1} = {2\,x^{-5+8} \over 3} \cdot (2\,x)^{-1} = {2\,x^3 \over 3} \cdot (2\,x)^{-1} = </math>
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<math> {2\,x^{-5} \over 3\,x^{-8}} \cdot (2\,x)^{-1} = {2\,x^{-5-(-8)} \over 3} \cdot (2\,x)^{-1} = {2\,x^{-5+8} \over 3} \cdot (2\,x)^{-1} = </math>
  
  
<math> = {2\,x^3 \over 3} \cdot {1 \over 2\,x} =  {2\,x^3 \cdot 1 \over 3 \cdot 2\,x} =  {x^2 \over 3}</math>
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<math> = {2\,x^3 \over 3} \cdot (2\,x)^{-1} = {2\,x^3 \over 3} \cdot {1 \over 2\,x} =  {2\,x^3 \cdot 1 \over 3 \cdot 2\,x} =  {x^2 \over 3}</math>

Versionen från 9 mars 2011 kl. 22.08

\( {2\,x^{-5} \over 3\,x^{-8}} \cdot (2\,x)^{-1} = {2\,x^{-5-(-8)} \over 3} \cdot (2\,x)^{-1} = {2\,x^{-5+8} \over 3} \cdot (2\,x)^{-1} = \)


\( = {2\,x^3 \over 3} \cdot (2\,x)^{-1} = {2\,x^3 \over 3} \cdot {1 \over 2\,x} = {2\,x^3 \cdot 1 \over 3 \cdot 2\,x} = {x^2 \over 3}\)