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受欢迎的初等代数 >

1/2-2^3(3^2)+3-2^2(4^2)

解答

\frac{1}{2} - 2^{3} (3^{2}) + 3 - 2^{2} (4^{2})

解答

- \frac{265}{2}

+1

十进制

- 132.5

求解步骤

\frac{1}{2} - 2^{3} (3^{2}) + 3 - 2^{2} (4^{2})

遵循 PEMDAS 运算顺序

计算括号内的值

(3^{2}) : 9

3^{2}

3^{2} = 9

= 9

= \frac{1}{2} - 2^{3} \cdot 9 + 3 - 2^{2} (4^{2})

计算括号内的值

(4^{2}) : 16

4^{2}

4^{2} = 16

= 16

= \frac{1}{2} - 2^{3} \cdot 9 + 3 - 2^{2} \cdot 16

计算幂值

2^{3} : 8

2^{3}

2^{3} = 8

= 8

= \frac{1}{2} - 8 \cdot 9 + 3 - 2^{2} \cdot 16

计算幂值

2^{2} : 4

2^{2}

2^{2} = 4

= 4

= \frac{1}{2} - 8 \cdot 9 + 3 - 4 \cdot 16

乘除（左右）

8 \cdot 9 : 72

8 \cdot 9

8 \cdot 9 = 72

= 72

= \frac{1}{2} - 72 + 3 - 4 \cdot 16

乘除（左右）

4 \cdot 16 : 64

4 \cdot 16

4 \cdot 16 = 64

= 64

= \frac{1}{2} - 72 + 3 - 64

加减（左右）

\frac{1}{2} - 72 + 3 - 64 : - \frac{265}{2}

\frac{1}{2} - 72 + 3 - 64

\frac{1}{2} - 72 = - \frac{143}{2}

\frac{1}{2} - 72

将项转换为分式:

72 = \frac{72 \cdot 2}{2}

= - \frac{72 \cdot 2}{2} + \frac{1}{2}

因为分母相等，所以合并分式:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{- 72 \cdot 2 + 1}{2}

- 72 \cdot 2 + 1 = - 143

- 72 \cdot 2 + 1

数字相乘:

72 \cdot 2 = 144

= - 144 + 1

数字相加/相减:

- 144 + 1 = - 143

= - 143

= \frac{- 143}{2}

使用分式法则:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{143}{2}

= - \frac{143}{2} + 3 - 64

- \frac{143}{2} + 3 = - \frac{137}{2}

- \frac{143}{2} + 3

将项转换为分式:

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

= \frac{3 \cdot 2}{2} - \frac{143}{2}

因为分母相等，所以合并分式:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{3 \cdot 2 - 143}{2}

3 \cdot 2 - 143 = - 137

3 \cdot 2 - 143

数字相乘:

3 \cdot 2 = 6

= 6 - 143

数字相减:

6 - 143 = - 137

= - 137

= \frac{- 137}{2}

使用分式法则:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{137}{2}

= - \frac{137}{2} - 64

- \frac{137}{2} - 64 = - \frac{265}{2}

- \frac{137}{2} - 64

将项转换为分式:

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

= - \frac{64 \cdot 2}{2} - \frac{137}{2}

因为分母相等，所以合并分式:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{- 64 \cdot 2 - 137}{2}

- 64 \cdot 2 - 137 = - 265

- 64 \cdot 2 - 137

数字相乘:

64 \cdot 2 = 128

= - 128 - 137

数字相减:

- 128 - 137 = - 265

= - 265

= \frac{- 265}{2}

使用分式法则:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{265}{2}

= - \frac{265}{2}

= - \frac{265}{2}

流行的例子

- 6 - (- 3) \cdot 7

14 \cdot 38 - 38 \cdot 24

(4 - (- 5))^{2}

3 \times 2^{2} - 3

33492+44000-77490

33492 + 44000 - 77490