x^a=1,x^b=4,求x^3a+2b的值

x^a=1,x^b=4,求x^3a+2b的值
x^(3a+2b)
=x^3a*x^2b
=(x^a)^3*(x^b)^2
=16
x^2n=3,(x^3n)^4=______
(x^3n)^4
=(x^3n)^2*(x^3n)^2
=(x^2n)^3*(x^2n)^3
=729
已知10^a=5,10^b=6,求10^3a+2b的值
10^(3a+2b)
=10^3a*10^2b
=(10^a)^3*(10^b)^2
=4500
已知n为正整数,且x^2n=4,试求9(x^3n)^2-13(x^2)^2n的值
9(x^3n)^2-13(x^2)^2n
=9(x^2n)^3-13(x^2n)^2
=576-208
=368

16
729
4500
368

1。x^（3a+2b）=(x^a)^3(x^b)^2=1×16=16
2。(x^3n)^4=x^12n=(x^2n)^6=3^6=729
3。10^3a+2b=10^3a*10^2b=(10^a)^3*(10^b)^2=5^3*6^2=125*36=4500
4。x^2n=4,x^n=2
9(x^3n)^2-13(x^2)^2n
=9(x^n)^6-13(x^n)^4
=9*2^6-13*2^4
=9*64-13*16
=576-208
=368

x^（3a+2b）=(x^a)^3(x^b)^2=1×16=16

1) 16
2) 729
3) 4500
4) 368

16
3^6
5^3X36
9X4^3-13X16