Je ziet enkele berekeningen met behulp van de eigenschappen van machten.
`(1/3) ^(text(-)4)= (1/(3^1)) ^(text(-)4)= (3^(text(-)1)) ^(text(-)4)=3^4=81`
`8^ (2/3) = (8^ (1/3)) ^2= (root[3] (8 )) ^2=2^2=4`
`16^(1,5)=16^ (1 +1/2) =16^1*16^ (1/2) =16 *sqrt(16 )=16 *4 =64`
`27^ (text(-) 2/3) = (27^ (1/3) ) ^(text(-)2)= (root[3]27 ) ^(text(-)2)=3^(text(-)2)=1/(3^2)=1/9`
Bereken met behulp van de eigenschappen van machten.
`3^(text(-)2)`
`81^ (1/4)`
`(3^(text(-)12)) ^ (1/4)`
`(2^2) ^(text(-)3)* (2^(text(-)2)) ^(text(-)4)`
`(2^ (1/2)) ^10`
`125^(1/5)*5^4*5^(text(-)10)`
`3^(text(-)5)*9^2`
`81^ (text(-) 1/4)`