x的2n次方=4,则x的6n次方=
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若n为正整数,且x的3n次方=7,则2[x的2n次方*4的n次方(-x)的2n次方]的立方/(-2x)的6n次方=2[x^2n*2^2n*x^2n]的立方/(2^6x^6n)=2[2^2n*x^4n]
x^3n=2x^6n+x^2n*x^10n=x^(2*3n)+x^(2n+10n)=(x^3n)^2+x^12n=(x^3n)^2+x^(4*3n)=(x^3n)^2+(x^3n)^4=2^2+2^4
∵x^m=3,x^n=6 ∴x^(m-n) =(x^m)/(x^n) =3/6 =1/2 ∴x^(3m-2n) =[x^(3m)]/[x^(2n)] =[(x^m)³]/[(x^n
x^(6n)+y^(4n)=[x^(3n)]^2+[y^(2n)]^2=5×5+4×4=25+16=41
(x的2次方)的2n次方=x的4n次方=(x的2n次方)的2次方=6的2次方=36再乘以四=144
由题意:5m+2n+2=63=3m-2n-1整理后:5m+2n=4.①3m-2n=4.②①+②,得:8m=8m=1则n=-1/2
由已知得到m-n+2n+1=11,m-1+4-n=7,联立解得m=7,n=3
已知x^m=4,x^n=3,求x^3n及x^(m+2n)的值:x^3n=(x^n)³=3³=27x^(m+2n)=(x^m)×(x^2n)=(x^m)×(x^n)²=4×
左边括号内丢了个系数吧{2×x^5m*y^2(m-n)}³=8x^6*y^158x^(15m)*y^(6(m-n))=8x^6*y^15等式左右相应项的次数相等∴15m=6,6(m-n)=1
X的6n次方=(X的3n次方)²=25Y的4n次方=(Y的2n次方)²=9
(x的3n次方)平方-4(x平方)的2n次方=(x的2n次方)³-4(x的2n次方)²=7³-4×7²=147
x^2n=23(x^3n)^2=3(x^2n)^3=3*2^3=3*8=24
x^(6n)+x^(4n)*x^(5n)=x^(6n)+x^(9n)=[x^(3n)]^2+[x^(3n)]^3=2^2+2^3=4+8=12
依题意:x^(15m+3n)*y(6m-3n)=x^6*y^15对比两边幂数可得:15m+3n=6……①6m-3n=15……②①+②得:21m=21∴m=1∴n=-3∴n的m次方=-3
最高是4次所以n-1=4且只有两项所以没有一次项所以-(m+1)=0所以m=-1,n=5再问:3x的n-1次方-(m+1)x+3是一个4次2项式按你说的带入后应为3x^5-1-x+3所以有2个运算符号
1.4*(x的n次方)2.-(x的5n次方)3.25
第一题:若3的m次方=a,3的n次方=b,则3的m+n次方=【ab】,3的2m次方+3的2n次方=【a^2+b^2】3^(m+n)=3^m*3^n=ab3^2m+3^2n=(3^m)^2+(3^n)^
x^3n=2那么x^6n+x^2n*x^10n=(x^3n)²+x^12n=4+(x^3n)^4=4+2^4=4+16=20
因为x^m=4,x^n=8,所以x^[(3m)-n]=[x^(3m)]/(x^n)=[(x^m)^3]/8=4^3/8=64/8=8.