化简 (\sqrt[0.2]{4x^{0.8}})^{0.2}

解答

化简

(0.2 4 x^{0.8})^{0.2}

4 x^{0.8}

求解步骤

(0.2 4 x^{0.8})^{0.2}

使用根式运算法则:

n a = a^{\frac{1}{n}}

= ((4 x^{0.8})^{\frac{1}{0.2}})^{0.2}

使用指数法则:

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

假定

a \geq 0

= (4 x^{0.8})^{\frac{1}{0.2} \cdot 0.2}

\frac{1}{0.2} \cdot 0.2 = 1

= 4 x^{0.8}

s im pl i f y 6.75 \cdot 1 0^{- 3}

s im pl i f y (2 sin (2 x))^{3}

s im pl i f y a (x + 1)^{2} (x^{2} + 4)^{2}

s im pl i f y π (5.9675 \cdot 1 0^{- 5} m^{2})

s im pl i f y 2.713 \cdot 1 0^{- 1}