1.已知3×9的N次方=3的7次方.求N的值.
9^N=3^6=9^3
N=3
2.已知a的3N次方等于5,b的2N次方等于3 .求：a的6N次方,b的4N次方的值.
a^(3N) = 5; a^(6N)=[a^(3N)]^2 = 5^2 =25
b^(2N) =3; b^(4N)=[b^(2N)]^2 = 3^2=9
3.设N为正整数,且x的2N次方等于2,求9（x的3N次方）2次幂的值.
x^(2N) =2,
9[x^(3N)]^2=9·x^(6N)=9·[x^(2N)]^3 = 9*2^3=9*8=72
4.已知2的M次方等于a,32的N次方等于6.求2的5M次方+10N次方.
2^M=a ;
32^N=(2^5)^N=2^(5N)=6
2^(5M)=(2^M)^5=a^5
2^(10N)=[2^(5N)]^2=6^2=36
2的5M次方+10N次方＝2的5M次方×2的10N次方＝(a^5)×36=36a^5
(36倍的a的5次方)