化简 (64y^{100})^{1/2}

解答

化简

(64 y^{100})^{\frac{1}{2}}

8 y^{50}

求解步骤

(64 y^{100})^{\frac{1}{2}}

使用指数法则:

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

(64 y^{100})^{\frac{1}{2}} = 6 4^{\frac{1}{2}} (y^{100})^{\frac{1}{2}}

= 6 4^{\frac{1}{2}} (y^{100})^{\frac{1}{2}}

6 4^{\frac{1}{2}} = 8

= 8 (y^{100})^{\frac{1}{2}}

使用指数法则:

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

假定

a \geq 0

(y^{100})^{\frac{1}{2}} = y^{100 \cdot \frac{1}{2}}

= 8 y^{100 \cdot \frac{1}{2}}

100 \cdot \frac{1}{2} = 50

= 8 y^{50}

- \frac{2}{x} > - \frac{5 x}{x ^{2} + 6}

3 x^{2} - 100 = 500

f a c t or r^{3} - 25 r^{2} - 9 r + 225

\frac{3 x}{2} + x - 2 = \frac{1}{4} + 2 x

s im pl i f y \frac{n + 3}{3 n ^{2} - 10 n + 8} + 3