m的x次方等于5,m的y次方,则m的二x加y次方等于
来源:学生作业帮助网 编辑:作业帮 时间:2024/10/02 17:01:14
由已知得,x=2^m,y=4^(3m)=2^(6m)=(2^m)^6=x^6.即y=x^6(表示x的6次幂)
稍等一下再问:嗯再答:解x^3m=4y^3n=5(x^m)³=4∴x^m=³√4(y^n)³=5∴y^n=³√5(x^2m)³+(y^n)³
(x-y)的m次方×(y-x)的2m次方+(y-x)的3m次方=(x-y)的(m+2m)-(x-y)的3m次方=0
x^(m-n)*x^(2n+1)=x^11.(m-n)+(2n+1)=11.m+n=10y^(m-1)*y^(4-n)=y^5.(m-1)+(4-n)=5.m-n=2(m+n)(m-n)=20m=6n
5m(x-y)²+10n(y-x)³=5m(x-y)²-10n(x-y)³=5(x-y)²[m-2n(x-y)]=5(x-y)²(m-2nx
∵单项式-5x的m+3次方y的4次方与7x的5次方y的3n+1次方是同类项∴M+3=5,3n+1=4∴m=2,n=1
(2xmy2m-n)3=8x6y98x3my2m-n=8x6y93m=6 m=22m-n=9 n=1m-n=1
^表示次方x^(m-n)*x^(2n+1)=x^11x^(m-n+2n+1)=x^11∴m+n+1=11m+n=10①y^(m-1)*y^(4-n)=y^7y^(m-1+4-n)=y^7m-n+3=7
3x^(m+5)*y^2与x^3*y^n的和是单项式,所以:m+5=3,m=-2n=2m^n=(-2)^2=4
9x^2+4y^2=(3x+2y)^2+m9x^2+4y^2=9x^2+4y^2+12xy+m12xy+m=0m=-12xy
(m+n)x^ny^(m-2)(3xy^2+5x^2y)=21x^my^(n+1)+35x^(m+1)y^n=7x^(m-1)y^(n-1)(3xy^2+5x^2y)m+n=7n=m-1m-2=n-1
100^x*100^(y+1)=100^[x+(y+1)]=100^(x+y+1)=(102)^(x+y+1)=10^[2(x+y+1)=10^(2x+2y+2)]而100^x*100^(y+1)=1
即两个单项式是同类项所以5=2m+1n=3n-2所以m=2n=1所以3m-4n=6-4=2再问:n为什么等于1?谢谢
x^(n-m)*x^(2n+1)=x^11==>(n-m)+(2n+1)=11(1)y^(m-1)*y^(4-n)=y^5==>(m-1)+(4-n)=5(2)由(1)、(2)式解方程组得m=8,n=
解由已知得原式=x^6m+y^3n-x^6m*y^3n=16+5-16*5=-59同底数幂相乘,底数不变,指数相加即:a^m×a^n=a^(m+n)(a^m)^n=a^mn(这个忘了咋说的了.)
x的2m次方=x的8次方故m=4
X=2的m次方+12的m次方=X-1Y=3+4的m次方=3+(2的m次方)²=3+(X-1)²=X²-2X+4
即2x(2+m)y^2+6x^3y^4=2x^5y^2-6x^3y^n所以2+m=5,4=n则m=3,n=4