Eksponente: EU1b4

Vereenvoudig die volgende uitdrukking met eksponentwet 1b: $bold 3 bold italic x to the power of bold 2 bold a end exponent bold italic x to the power of bold minus bold 3 end exponent bold times bold 2 bold italic x to the power of bold a bold italic x$

Antwoord

$table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 3 x to the power of 2 a end exponent x to the power of negative 3 end exponent times 2 x to the power of a x to the power of 1 end cell row blank equals cell 3 times 2 times x to the power of 2 a end exponent times x to the power of a times x to the power of negative 3 end exponent times x to the power of 1 end cell row blank equals cell 6 times x to the power of 2 a bold plus a end exponent times x to the power of negative 3 bold plus 1 end exponent end cell row blank equals cell 6 x to the power of 3 a end exponent times x to the power of negative 2 end exponent end cell row blank equals cell 6 x to the power of 3 a plus open parentheses negative 2 close parentheses end exponent end cell row blank equals cell 6 x to the power of 3 a minus 2 end exponent end cell end table$