4 Times 3 to the 2006 power minus 3 to the 2003 power can be divided by 321? Why? 4 Times 3 for 2006 minus 3 for 2003 can be divided by 321? Why?

4 Times 3 to the 2006 power minus 3 to the 2003 power can be divided by 321? Why? 4 Times 3 for 2006 minus 3 for 2003 can be divided by 321? Why?

4*3^2006-3^2003
=4*3^2003*3^3-3^2003
=3^2003(4*3^3-1)
=3^2003*(27*4-4)
=3^2003*107
3^2003*107=3^2002*107*3=3^2002*321
It is therefore obvious that it can be divided by 321
The result after division is 3^2002

(-2) To the 2003 power plus (-2) to the 2002 power;(-0.25) to the 2009 power multiplied by 4 to the 2004 power; kneel for answers

(Power of (-2) plus 2002 power of (-2)
=-2^2003+2^2002
=2^2002(-2+1)
=-2^2002
(-0.25) To the 2009 power multiplied by 4 to the 2004 power
=-(1/4)^2009*4*2004
=(-1/4)^5*(1/4*4)^2004
=-1/4^5
=-1/1024