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受欢迎的代数 >

化简 1/2*(1/4)^2

解答

化简

\frac{1}{2} \cdot (\frac{1}{4})^{2}

解答

\frac{1}{32}

+1

十进制

0.03125

求解步骤

\frac{1}{2} (\frac{1}{4})^{2}

因式分解数字:

\frac{1}{4} = (\frac{1}{2})^{2}

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

使用指数法则:

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

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

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

数字相乘:

2 \cdot 2 = 4

= \frac{1}{2} (\frac{1}{2})^{4}

使用指数法则:

a^{b} \cdot a^{c} = a^{b + c}

\frac{1}{2} (\frac{1}{2})^{4} = (\frac{1}{2})^{1 + 4}

= (\frac{1}{2})^{1 + 4}

数字相加:

1 + 4 = 5

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

使用指数法则:

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

= \frac{1 ^{5}}{2 ^{5}}

1^{5} = 1

= \frac{1}{2 ^{5}}

2^{5} = 32

= \frac{1}{32}

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s im pl i f y (8 a^{3} b^{\frac{3}{2}})^{\frac{2}{3}}

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s im pl i f y x - \frac{y}{\frac{x}{y} + \frac{y}{x}}

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