化简 (16x^8)^{1/4}

解答

化简

(16 x^{8})^{\frac{1}{4}}

2 x^{2}

求解步骤

(16 x^{8})^{\frac{1}{4}}

使用指数法则:

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

(16 x^{8})^{\frac{1}{4}} = 1 6^{\frac{1}{4}} (x^{8})^{\frac{1}{4}}

= 1 6^{\frac{1}{4}} (x^{8})^{\frac{1}{4}}

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

= 2 (x^{8})^{\frac{1}{4}}

使用指数法则:

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

假定

a \geq 0

(x^{8})^{\frac{1}{4}} = x^{8 \cdot \frac{1}{4}}

= 2 x^{8 \cdot \frac{1}{4}}

8 \cdot \frac{1}{4} = 2

= 2 x^{2}

2 - 9 ∣ p + 7 ∣ \geq - 16

f a c t or 15 r^{2} + 2 rs - s^{2}

\frac{1}{27} x - \frac{4}{9} = \frac{2}{3}

s im pl i f y \frac{7}{6 x} + \frac{2 - x}{3 x y}

s im pl i f y \frac{5 ^{2}}{- 2}