若2的m次方=a,5的m次方=b,3的m次方=c, - 知识问答

若2的m次方=a,5的m次方=b,3的m次方=c,求30的3m+1次方

1个回答

30^(3m+1)
=[30^(3m)]×30
=[(2×5×3）^(3m)]×30
= [2^(3m)]×[5^(3m)]×[3^(3m)]×30
=(2^m)³×(5^m)³×(3^m)³×30
=a³×b³×c³×30
=30a³b³c³

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