Eksponente: EU1b2

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

Antwoord

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