化简 (64a^{16})^{1/4}

解答

化简

(64 a^{16})^{\frac{1}{4}}

2 \cdot 2^{\frac{1}{2}} a^{4}

求解步骤

(64 a^{16})^{\frac{1}{4}}

使用指数法则:

(a \cdot b)^{n} = a^{n} b^{n}

(64 a^{16})^{\frac{1}{4}} = 6 4^{\frac{1}{4}} (a^{16})^{\frac{1}{4}}

= 6 4^{\frac{1}{4}} (a^{16})^{\frac{1}{4}}

6 4^{\frac{1}{4}} = 2 \cdot 2^{\frac{1}{2}}

= 2 \cdot 2^{\frac{1}{2}} (a^{16})^{\frac{1}{4}}

化简

(a^{16})^{\frac{1}{4}} : a^{4}

= 2 \cdot 2^{\frac{1}{2}} a^{4}

s im pl i f y \frac{5}{3} - \frac{7}{6}

s im pl i f y (25 z^{4})^{\frac{- 3}{2}}

f a c t or 1 - 125 k^{3}

s im pl i f y \frac{1}{2} - \frac{7}{10}

s im pl i f y 4 (- 6 m + 7)