Eksponente: UE1b6

Vereenvoudig die volgende uitdrukking met eksponentwet 1b: $bold left parenthesis bold 4 bold x to the power of bold minus bold 2 end exponent bold y to the power of bold 3 bold right parenthesis bold left parenthesis bold 2 to the power of bold minus bold 2 end exponent bold x to the power of bold 4 bold y to the power of bold minus bold 6 end exponent bold right parenthesis$

Antwoord

$table row cell space space space open parentheses 4 x to the power of negative 2 end exponent y cubed close parentheses open parentheses 2 to the power of negative 2 end exponent x to the power of 4 y to the power of negative 6 end exponent close parentheses end cell row cell equals 4 times x to the power of negative 2 end exponent times y cubed times 2 to the power of negative 2 end exponent times x to the power of 4 times y to the power of negative 6 end exponent end cell row cell equals 4 times 1 fourth times x to the power of negative 2 end exponent times x to the power of 4 times y cubed times y to the power of negative 6 end exponent end cell row cell equals 1 times x to the power of negative 2 plus 4 end exponent times y to the power of 3 plus open parentheses negative 6 close parentheses end exponent end cell row cell equals x to the power of negative 2 plus 4 end exponent times y to the power of 3 minus 6 end exponent equals x squared y to the power of negative 3 end exponent end cell end table$