簡約 [(2/3)^5]^4*[(2/3)^7]^3

解

簡約

[(\frac{2}{3})^{5}]^{4} \cdot [(\frac{2}{3})^{7}]^{3}

\frac{2199023255552}{3 ^{41}}

十進法表記

6.02918 E - 8

解答ステップ

((\frac{2}{3})^{5})^{4} ((\frac{2}{3})^{7})^{3}

((\frac{2}{3})^{5})^{4} = \frac{1048576}{3 ^{20}}

= \frac{1048576}{3 ^{20}} ((\frac{2}{3})^{7})^{3}

((\frac{2}{3})^{7})^{3} = \frac{2097152}{3 ^{21}}

= \frac{1048576}{3 ^{20}} \cdot \frac{2097152}{3 ^{21}}

\frac{1048576}{3 ^{20}} \cdot \frac{2097152}{3 ^{21}} = \frac{2199023255552}{3 ^{41}}

= \frac{2199023255552}{3 ^{41}}