因数 (3^26^48^3)^2

解

因数

(3^{2} 6^{4} 8^{3})^{2}

3.56644 E 13

解答ステップ

(3^{2} \cdot 6^{4} \cdot 8^{3})^{2}

簡素化

3^{2} \cdot 6^{4} \cdot 8^{3} : 2^{13} \cdot 3^{6}

= (2^{13} \cdot 3^{6})^{2}

指数の規則を適用する:

(a \cdot b)^{n} = a^{n} b^{n}

= (3^{6})^{2} (2^{13})^{2}

(3^{6})^{2} : 3^{12}

= 3^{12} (2^{13})^{2}

(2^{13})^{2} : 2^{26}

= 3^{12} \cdot 2^{26}

3^{12} = 531441

= 2^{26} \cdot 531441

2^{26} = 67108864

= 531441 \cdot 67108864

数を乗じる:

531441 \cdot 67108864 = 3.56644 E 13

= 3.56644 E 13