化简 (1400000000)*((100-2.2)/(100))^{32}

解答

化简

(1400000000) \cdot (\frac{100 - 2.2}{100})^{32}

\frac{7 \cdot 97. 8 ^{32}}{2 ^{55} \cdot 2 5 ^{28}}

十进制

687023177.75584 \dots

求解步骤

(1400000000) (\frac{100 - 2.2}{100})^{32}

使用法则:

(a) = a

(1400000000) = 1400000000

= 1400000000 (\frac{100 - 2.2}{100})^{32}

使用指数法则:

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

(\frac{100 - 2.2}{100})^{32} = \frac{( 100 - 2.2 ) ^{32}}{10 0 ^{32}}

= 1400000000 \cdot \frac{( 100 - 2.2 ) ^{32}}{10 0 ^{32}}

数字相减:

100 - 2.2 = 97.8

= 1400000000 \cdot \frac{97. 8 ^{32}}{10 0 ^{32}}

1400000000 \cdot \frac{97. 8 ^{32}}{10 0 ^{32}} = \frac{7 \cdot 97. 8 ^{32}}{2 ^{55} \cdot 2 5 ^{28}}

= \frac{7 \cdot 97. 8 ^{32}}{2 ^{55} \cdot 2 5 ^{28}}

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