化简 (((x^2)^x)^3)^x

解答

化简

(((x^{2})^{x})^{3})^{x}

x^{6 x^{2}}

求解步骤

(((x^{2})^{x})^{3})^{x}

化简

((x^{2})^{x})^{3} : x^{6 x}

= (x^{6 x})^{x}

使用指数法则:

(a^{b})^{c} = a^{b c},

假定

a \geq 0

= x^{6 xx}

化简

6 xx : 6 x^{2}

= x^{6 x^{2}}

s im pl i f y (x + y)^{6} - x^{6}

f a c t or 9 x^{2} - y^{2} + 6 x + 1

s im pl i f y \frac{( 30 z )}{( 9 z ^{2} - 1 )} + \frac{2}{( 3 z - 1 )} - \frac{5}{( 3 z + 1 )}

e x p an d (x + 2 x^{2})^{6}

s im pl i f y \frac{4}{a} - \frac{3}{b}