3的2m次方=6,3的n次方=8,求3的4m-2n次方的值

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3的2m次方=6,3的n次方=8,求3的4m-2n次方的值

3的2m次方=6,3的n次方=8,求3的4m-2n次方的值
3的2m次方=6,3的n次方=8,求3的4m-2n次方的值

3的2m次方=6,3的n次方=8,求3的4m-2n次方的值
3的4M-2N次方
=3^4m÷3^2n
=(3^2m)^2÷(3^n)^2
=6²÷8²
=4.5

3^2m=6 3^n=8
所以(3^2m)^2=36 (3^n)^2=64
3^(4m-2n)=3^4m/3^2n=(3^2m)^2/(3^n)^2=36/64=9/16
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