展开 \sqrt[4]{b^5}sqrt(b)

解答

展开

4 b^{5} b

b^{\frac{7}{4}}

求解步骤

4 b^{5} b

4 b^{5} = b 4 b

= b 4 b b

使用指数法则:

a^{b} \cdot a^{c} = a^{b + c}

4 b b = b^{\frac{1}{4}} b^{\frac{1}{2}} = b^{\frac{1}{4} + \frac{1}{2}}

= b b^{\frac{1}{4} + \frac{1}{2}}

使用指数法则:

a^{b} \cdot a^{c} = a^{b + c}

b b^{\frac{1}{4} + \frac{1}{2}} = b^{1 + \frac{1}{4} + \frac{1}{2}}

= b^{1 + \frac{1}{4} + \frac{1}{2}}

化简

1 + \frac{1}{4} + \frac{1}{2} : \frac{7}{4}

= b^{\frac{7}{4}}

e x p an d (t e^{t a n (x)} cos (2 t) - 3) d t

e x p an d \frac{2 - x}{( x - 3 ) ^{4}}

e x p an d \frac{( x - 3 ) ( x + 1 )}{( x - 1 ) ^{2}}

e x p an d cos (θ) (- 3, - 5)

e x p an d 5 (5 x + 7 x = - 2)