Eksponente: UE1b5

Vereenvoudig die volgende uitdrukking met eksponentwet 1b: $bold left parenthesis bold 3 bold x to the power of bold 2 bold y bold right parenthesis bold left parenthesis bold 3 bold xy to the power of bold 2 bold right parenthesis bold left parenthesis bold minus bold 3 bold x to the power of bold 3 bold y to the power of bold 5 bold right parenthesis$

Antwoord

$table row cell space space space space open parentheses 3 x squared y close parentheses open parentheses 3 x y squared close parentheses open parentheses negative 3 x cubed y to the power of 5 close parentheses end cell row cell equals 3 times x squared times y to the power of 1 times 3 times x times y squared times open parentheses negative 3 close parentheses times x cubed times y to the power of 5 end cell row cell equals 3 times 3 times open parentheses negative 3 close parentheses times x squared times x to the power of 1 times x cubed times y to the power of 1 times y squared times y to the power of 5 end cell row cell equals negative 27 times x to the power of 2 plus 1 plus 3 end exponent times y to the power of 1 plus 2 plus 5 end exponent end cell row cell equals negative 27 x to the power of 5 y to the power of 8 end cell end table$