!set n=$teller
bewerking=bewerking4.proc
aantal_vragen=1

!if $taal=nl
    nivo_title=Optellen of Aftrekken van Machten
    somtekst$n=Tel de volgende machten op of trek ze van elkaar af.<br>\
    Schrijf je antwoord als een enkele macht en <br>gebruik het <b>zelfde</b> grondtal als in de som.\
    <br><small>kijk even in de help-pagina van deze som voor uitleg</small></p>
    
    hint=Kijk in de Help-pagina !!
!else
    nivo_title=Adding or Subtracting powers
    somtekst$n=Calculate<br>\
    The outcome should be a single power with the same basenumber as in the question...\
    <br><small>look into the help-pages</small></p>
    
    hint=Look into the help-pages for moral support
!endif

!if $graad=0
    R=$teller
!else
    R=$graad
!endif        

!if $R=1 
    !if $negatief=0
	g=!randitem 2,3,4,5,6,7,8,9,10
	g1=!randitem 2,3,4,5,6,7,8,9,10
	g2=!randitem 2,3,4,5,6,7,8,9,10
	e=!randitem 2,3,4,5,6,7,8,9,10
	pm=+
    !else
	g=!randitem 2,3,4,5,6,7,8,9,10
	g1=!randitem 2,3,4,5,6,7,8,9,10
	g2=!randitem 2,3,4,5,6,7,8,9,10
	e=!randitem -2,-3,-4,-5,-6,-7,-8,-9,-10
	pm=!randitem +,-
	!if $g1=$g2
	    g2=$[$g1+1]
	!endif    
    !endif	
    opgave$n=$g1 \cdot $g^{$e} $pm $g2 \cdot $g^{$e}  
    GOED$n=$[$g1 $pm $g2]*$g^$e
    antwoord$n=$g1 \cdot $g^{$e} $pm $g2 \cdot $g^{$e} \,\,=\,\, \left( $g1 $pm $g2 \right)\cdot $g^{$e} = $[$g1 $pm $g2]\cdot $g^{$e} 
  !exit
!endif

!if $R=2
    g=!randint 2,100
    g1=!randitem 2,3,4,5,6,7,8,9,10
    g2=!randitem 2,3,4,5,6,7,8,9,10
    g3=!randitem 2,3,4,5,6,7,8,9,10
    !if $negatief=0
	e=!randitem 2,3,4,5,6,7,8,9,10
	pm=+
	mp=+
    !else
	e=!randitem -2,-3,-4,-5,-6,-7,-8,-9,-10
	pm=!randitem +,-
	mp=!randitem +,-
	!if $[$g1 $pm $g2 $mp $g3] = 0
	    g3=$[$g3+2]
	!endif    
    !endif	
    opgave$n=$g1 \cdot $g^{$e} $pm $g2 \cdot $g^{$e}  $mp $g3 \cdot $g^{$e}  
    GOED$n=$[$g1 $pm $g2 $mp $g3]*$g^$e
    antwoord$n=$g1 \cdot $g^{$e} $pm $g2 \cdot $g^{$e} $mp $g3 \cdot $g^{$e} \,\,=\,\, \left( $g1 $pm $g2 $mp $g3 \right)\cdot $g^{$e} = $[$g1 $pm $g2 $mp $g3]\cdot $g^{$e} 
  !exit
!endif

!if $R=3
    g=!randint 2,100
    g1=!randint 2,100
    g2=!randint 2,100
    g3=!randint 2,100
    g4=!randint 2,100
    !if $negatief=0
	e=!randint 2,100
	pm=+
	mp=+
    !else
	e=!randint -2,-100
	pm=!randitem +,-
	mp=!randitem +,-
	!if $[$g1 $pm $g2 $mp $g3 $pm $g4] = 0
	    g4=$[$g3+2]
	!endif    
    !endif	
    opgave$n=$g1 \cdot $g^{$e} $pm $g2 \cdot $g^{$e}  $mp $g3 \cdot $g^{$e}  $pm $g4 \cdot $g^{$e}  
    GOED$n=$[$g1 $pm $g2 $mp $g3 $pm $g4]*$g^$e
    antwoord$n=$g1 \cdot $g^{$e} $pm $g2 \cdot $g^{$e}  $mp $g3 \cdot $g^{$e}  $pm $g4 \cdot $g^{$e} \,\,=\,\, \left( $g1 $pm $g2 $mp $g3 $pm $g4 \right)\cdot $g^{$e} = $[$g1 $pm $g2 $mp $g3 $pm $g4]\cdot $g^{$e} 
  !exit
!endif


!if $R>3 
    !if $negatief=0
	g=!randitem 2,3,4,5,6,7,8,9,10
	g1=!randitem 2,3,4,5,6,7,8,9,10
	g2=!randitem 2,3,4,5,6,7,8,9,10
	e1=!randitem 2,3,4,5,6,7,8,9,10
	e2=$[$e1 + 1]
	pm=+
    !else
	g=!randitem 2,3,4,5,6,7,8,9,10
	g1=!randitem 2,3,4,5,6,7,8,9,10
	g2=!randitem 2,3,4,5,6,7,8,9,10
	e1=!randitem -2,-3,-4,-5,-6,-7,-8,-9,-10
	e2=$[$e1 + 1]
	pm=!randitem +,-
	!if $g1=$g2
	    g2=$[$g1+1]
	!endif    
    !endif	
    opgave$n=$g1 \cdot $g^{$e1} $pm $g2 \cdot $g^{$e2}  
    GOED$n=$[$g1 $pm $g*$g2]*$g^$e1
    antwoord$n=$g1 \cdot $g^{$e1} $pm $g2 \cdot $g^{$e2} \,\,=\,\, $g1 \cdot $g^{$e1} $pm $g2 \cdot $g \cdot $g^{$e1} \,\,=\,\, \left( $g1 $pm $[$g2*$g] \right)\cdot $g^{$e1} = $[$g1 $pm $g*$g2]\cdot $g^{$e1} 
  !exit
!endif

