化简 (216r^9)^{1/3}

解答

化简

(216 r^{9})^{\frac{1}{3}}

6 r^{3}

求解步骤

(216 r^{9})^{\frac{1}{3}}

使用指数法则:

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

(216 r^{9})^{\frac{1}{3}} = 21 6^{\frac{1}{3}} (r^{9})^{\frac{1}{3}}

= 21 6^{\frac{1}{3}} (r^{9})^{\frac{1}{3}}

21 6^{\frac{1}{3}} = 6

= 6 (r^{9})^{\frac{1}{3}}

使用指数法则:

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

假定

a \geq 0

(r^{9})^{\frac{1}{3}} = r^{9 \cdot \frac{1}{3}}

= 6 r^{9 \cdot \frac{1}{3}}

9 \cdot \frac{1}{3} = 3

= 6 r^{3}

s im pl i f y 635 + 43625

12 x = 60

s im pl i f y (0.5) (\frac{1}{1000000}) (\frac{35.287}{1})

x^{2} - 8 x^{2} - 9 = 0

s im pl i f y \frac{5608 ( 1 - ( 1.07 3 ^{- 8} ) )}{0.073}