化简 2/5 (4)^{5/2}

解答

化简

\frac{2}{5} (4)^{\frac{5}{2}}

\frac{64}{5}

十进制

12.8

求解步骤

\frac{2}{5} \cdot 4^{\frac{5}{2}}

因式分解数字:

4 = 2^{2}

= \frac{2}{5} (2^{2})^{\frac{5}{2}}

使用指数法则:

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

(2^{2})^{\frac{5}{2}} = 2^{2 \cdot \frac{5}{2}}

= \frac{2}{5} \cdot 2^{2 \cdot \frac{5}{2}}

2 \cdot \frac{5}{2} = 5

= \frac{2}{5} \cdot 2^{5}

2^{5} = 32

= \frac{2}{5} \cdot 32

\frac{2}{5} \cdot 32 = \frac{64}{5}

= \frac{64}{5}

e - 6 = 8

4 x + 16 = x^{2}

- 0.25 x = (0.0401 + x)^{2}

s im pl i f y lo g_{125} (25)

f a c t or x^{2} + 7.5 x + (\frac{49}{16})