Question

0.25的2004次方乘以4的2005次方,减去8的667 次方乘以0.5的2002次方,怎么做?

不会解？

Answer 1

0.25的2004次方乘以4的2005次方,减去8的667 次方乘以0.5的2002次方
= (1/4)^2004 * 4^2005 - 8^667 * (1/2)^2002
= (1/4)^2004 * 4^2004 * 4 - (2^3)^667 * (1/2)^2002
= (1/4 * 4)^2004 * 4 - 2^(3 * 667) * (1/2)^2002
= 1^2004 * 4 - 2^2001 * (1/2)^2001 * 1/2
= 4 - (2 * 1/2)^2001 * 1/2
= 4 - 1^2001 * 1/2
= 4 - 1/2
= 3又1/2

Answer 2

(0.25*4)^2004*4-2^(667*3)*0.5^2002
=4-(2*0.05)2001*0.5
=4-0.5=3.5

Answer 3

(0.25*4)^2004*4-8^667*0.5^2002
=1^2004*4-2^(3*667)*0.5^2002
=1*4-2^2001*0.5^2002
=4-(2*0.5)^2001*0.5
=4-1^2001*0.5
=4-1*0.5
=4-0.5=3.5