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已知x的2n次方等于3,求x的3n次方的4次方的值

2011-02-19 已知x的2n次方等于3,求(3x的3n次方)的平方的值 16 2012-05-19 已知x的2n次方=5,那么(2x的3n次方)的平方-3(x...

(3x^3n)^2-4(x^2)^2n =(9x^6n)-4(x^2n)^2 =9(x^2n)^3-4(x^2n)^2 =9x5^3-4x5^2 =9x125-4x25 =1025

答案是-81 文字过程: 因为x的2n次方=3 所以(x的3n次方)2次方-4(x的3次方)2n次方 =(x的2n次方)3次方-4(x的2n次方)3次方 =-3(x的2n次方)3次方 =-3*(3的3次方) =-81 图片过程:

原式=9x^(6n)-4x^(4n) =9(x^2n)³-4(x^2n)² =9*5³-4*5² =1025

∵(xy)的6n次方=X的6n次方Y的6n次方=﹙X的2n次方﹚³﹙Y的3n次方﹚² ∴(xy)的6n次方=3³×4²=144

x的2n次方=3 (9分之1x的3n次方)²×4(x²)的2n次方 =(9分之1)²×(x的3n次方)²×4x的2×2n次方 =(81分之1)×(x的2×3n次方)×4x的4n次方 =(81分之1)×(x的6n次方)×4x的4n次方 =(81分之1×4)×(x的6n+4n次方) =(81分之4)×(x的10n次方) =(8...

解答: (-1/3x^3n)^4/[4(x^3)^2n]=[1/81*x^(12n)]/[4x^(6n)] =1/81*1/4*x^(6n)=1/81*1/4*[x^(2n)]^3 =1/81*1/4*(3^3)=1/12

如图

如果题目是: 已知 的值 则可以:

x^(2n)=5 (3x^(3n))²-4(x²)^2n =9x^6n-4x^4n =9(x^2n)³-4(x^2n)² =9x125-4x25 =1125-100 =1025

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