化简 6.67408E-11*(8.55^2)/(0.868^2)

解答

化简

6.67408 E - 11 \cdot \frac{8.5 5 ^{2}}{0.86 8 ^{2}}

6.47566 E - 9

求解步骤

6.67408 E - 11 \cdot \frac{8.5 5 ^{2}}{0.86 8 ^{2}}

使用指数法则:

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

\frac{8.5 5 ^{2}}{0.86 8 ^{2}} = (\frac{8.55}{0.868})^{2}

= 6.67408 E - 11 (\frac{8.55}{0.868})^{2}

(\frac{8.55}{0.868})^{2} = \frac{8.5 5 ^{2}}{0.86 8 ^{2}}

= 6.67408 E - 11 \cdot \frac{8.5 5 ^{2}}{0.86 8 ^{2}}

分式相乘:

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

= \frac{8.5 5 ^{2} \cdot 6.67408 E - 11}{0.86 8 ^{2}}

8.5 5^{2} \cdot 6.67408 E - 11 = 4.87892 E - 9

= \frac{4.87892 E - 9}{0.86 8 ^{2}}

0.86 8^{2} = 0.753424

= \frac{4.87892 E - 9}{0.753424}

数字相除:

\frac{4.87892 E - 9}{0.753424} = 6.47566 E - 9

= 6.47566 E - 9

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