化简 81^{7/4}

解答

化简

8 1^{\frac{7}{4}}

2187

求解步骤

8 1^{\frac{7}{4}}

因式分解数字:

81 = 3^{4}

= (3^{4})^{\frac{7}{4}}

使用指数法则:

(a^{b})^{c} = a^{b c}, a \geq 0

= 3^{4 \cdot \frac{7}{4}}

4 \cdot \frac{7}{4} = 7

= 3^{7}

3^{7} = 2187

= 2187

x + 6 - 2 x = x - 24

s im pl i f y \frac{9 ^{- 3}}{9 ^{12}}

- 5 + 7 y = 8 y - 6

\frac{a}{2} - 2 = - 10

\frac{3}{x + 1} < \frac{2}{x + 2}