
若n为正整数,且x的2n次方=7,求(x的3n次方)的2次方-(x的2次方)的2n次方的值 5
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x^(2n)=7
(x^n)^2=7
x^n=√7
x^(2n)*x^n=7√7
x^(3n)=7√7
(x的3n次方)的2次方-(x的2次方)的2n次方
=(x^(3n))^2-((x^2)^(2n)
=(x^(3n))^2-((x^2n)^2
=(7√7)²-7²
=294
(x^n)^2=7
x^n=√7
x^(2n)*x^n=7√7
x^(3n)=7√7
(x的3n次方)的2次方-(x的2次方)的2n次方
=(x^(3n))^2-((x^2)^(2n)
=(x^(3n))^2-((x^2n)^2
=(7√7)²-7²
=294
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