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受欢迎的代数 >

化简 1000(1/2)^{60/5}

解答

化简

1000 (\frac{1}{2})^{\frac{60}{5}}

解答

\frac{125}{512}

+1

十进制

0.244140625

求解步骤

1000 (\frac{1}{2})^{\frac{60}{5}}

使用指数法则:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

(\frac{1}{2})^{\frac{60}{5}} = \frac{1 ^{\frac{60}{5}}}{2 ^{\frac{60}{5}}}

= 1000 \cdot \frac{1 ^{\frac{60}{5}}}{2 ^{\frac{60}{5}}}

1^{\frac{60}{5}} = 1

= 1000 \cdot \frac{1}{2 ^{\frac{60}{5}}}

2^{\frac{60}{5}} = 4096

= 1000 \cdot \frac{1}{4096}

1000 \cdot \frac{1}{4096} = \frac{125}{512}

= \frac{125}{512}

流行的例子

化简 (110-100)/7

s im pl i f y \frac{110 - 100}{7}

因式分解 7x^2-4x-3

f a c t or 7 x^{2} - 4 x - 3

∣ x ∣ > - 9

28 x - 7 = 21 x - 70

x - 6 \leq 18 - 7 x