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受欢迎的初等代数 >

4× (9^2\div 6× 5)

解答

4 \times (9^{2} \div 6 \times 5)

解答

270

求解步骤

4 \times (9^{2} \div 6 \times 5)

遵循 PEMDAS 运算顺序

计算括号内的值

(9^{2} \div 6 \times 5) : \frac{135}{2}

9^{2} \div 6 \times 5

计算幂值

9^{2} : 81

9^{2}

9^{2} = 81

= 81

= 81 \div 6 \times 5

乘除（左右）

81 \div 6 \times 5 : \frac{135}{2}

81 \div 6 \times 5

81 \div 6 = \frac{81}{6}

= \frac{81}{6} \times 5

\frac{81}{6} \times 5 = \frac{135}{2}

\frac{81}{6} \cdot 5

消掉

\frac{81}{6} : \frac{27}{2}

\frac{81}{6}

因式分解数字:

81 = 3 \cdot 27

= \frac{3 \cdot 27}{6}

因式分解数字:

6 = 3 \cdot 2

= \frac{3 \cdot 27}{3 \cdot 2}

约分:

3

= \frac{27}{2}

= \frac{27}{2} \cdot 5

\frac{27}{2} \cdot 5 = \frac{135}{2}

\frac{27}{2} \cdot 5

将项转换为分式:

5 = \frac{5}{1}

= \frac{27}{2} \cdot \frac{5}{1}

使用分式法则:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{27 \cdot 5}{2 \cdot 1}

数字相乘:

27 \cdot 5 = 135

= \frac{135}{2 \cdot 1}

数字相乘:

2 \cdot 1 = 2

= \frac{135}{2}

= \frac{135}{2}

= \frac{135}{2}

= \frac{135}{2}

= 4 \times \frac{135}{2}

乘除（左右）

4 \times \frac{135}{2} : 270

4 \times \frac{135}{2}

将项转换为分式:

4 = \frac{4}{1}

= \frac{4}{1} \cdot \frac{135}{2}

使用分式法则:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{4 \cdot 135}{1 \cdot 2}

消掉

\frac{4 \cdot 135}{1 \cdot 2} : 270

\frac{4 \cdot 135}{1 \cdot 2}

数字相乘:

1 \cdot 2 = 2

= \frac{4 \cdot 135}{2}

数字相除:

\frac{4}{2} = 2

= 2 \cdot 135

数字相乘:

2 \cdot 135 = 270

= 270

= 270

= 270

流行的例子

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