化简 ((sqrt(x)+1)/((sqrt(x))))^5

解答

化简

(\frac{x + 1}{( x )})^{5}

\frac{( x + 1 ) ^{5}}{x ^{5}}

求解步骤

(\frac{x + 1}{x})^{5}

使用指数法则:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{( x + 1 ) ^{5}}{( x ) ^{5}}

(x)^{5} = x^{\frac{5}{2}}

= \frac{( x + 1 ) ^{5}}{x ^{\frac{5}{2}}}

x^{\frac{5}{2}} = x^{5}

= \frac{( x + 1 ) ^{5}}{x ^{5}}

s im pl i f y lo g_{10} ((x - 4)^{2})

e x p an d (8 a + b)^{3}

e x p an d 2 (t - sin (x)) + 2 (1 - cos (x))

s im pl i f y \frac{4}{( x ^{2} - 25 )} + \frac{( x + 2 )}{( x ^{2} - 2 x - 15 )}

f a c t or 343 x^{6} + 512