4p^{5/2}q^{3/2}

解答

4 p^{\frac{5}{2}} q^{\frac{3}{2}}

4 p^{2} q p^{\frac{1}{2}} q^{\frac{1}{2}}

求解步骤

4 p^{\frac{5}{2}} q^{\frac{3}{2}}

使用指数法则:

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

p^{\frac{5}{2}} = p^{2 + \frac{1}{2}} = p^{2} p^{\frac{1}{2}}

= 4 p^{2} p^{\frac{1}{2}} q^{\frac{3}{2}}

使用指数法则:

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

q^{\frac{3}{2}} = q^{1 + \frac{1}{2}} = q q^{\frac{1}{2}}

= 4 p^{2} q p^{\frac{1}{2}} q^{\frac{1}{2}}

x^{2} - x - 6 < 0

4 x^{2} = 44

s im pl i f y 0.0064

s im pl i f y (x^{2})^{- 3} \cdot x^{23} \cdot (x^{4})^{- \frac{1}{2}}

f a c t or 9 v^{2} + 48 v + 64