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受欢迎的代数 >

化简 (5^3*5^2)^4

解答

化简

(5^{3} \cdot 5^{2})^{4}

解答

9.53674 E 13

求解步骤

(5^{3} \cdot 5^{2})^{4}

使用指数法则:

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

(5^{3} \cdot 5^{2})^{4} = (5^{3})^{4} (5^{2})^{4}

= (5^{3})^{4} (5^{2})^{4}

(5^{3})^{4} = 244140625

= 244140625 (5^{2})^{4}

使用指数法则:

(a^{b})^{c} = a^{b c}, a \geq 0

(5^{2})^{4} = 5^{2 \cdot 4}

= 244140625 \cdot 5^{2 \cdot 4}

数字相乘:

2 \cdot 4 = 8

= 244140625 \cdot 5^{8}

5^{8} = 390625

= 244140625 \cdot 390625

数字相乘:

244140625 \cdot 390625 = 9.53674 E 13

= 9.53674 E 13

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