求解 (0.01)^5(0.1)^39/(0.0001)^6(0.001)^10

$$\frac { ( 0.01 ) ^ { 5 } ( 0.1 ) ^ { 39 } } { ( 0.0001 ) ^ { 6 } ( 0.001 ) ^ { 10 } }$$

求值

$$100000$$

求解步骤

计算 5 的 0.01 乘方，得到 0.0000000001。

$$\frac{0.0000000001\times 0.1^{39}}{0.0001^{6}\times 0.001^{10}}$$

计算 39 的 0.1 乘方，得到 0.000000000000000000000000000000000000001。

$$\frac{0.0000000001\times 0.000000000000000000000000000000000000001}{0.0001^{6}\times 0.001^{10}}$$

将 0.0000000001 与 0.000000000000000000000000000000000000001 相乘，得到 0.0000000000000000000000000000000000000000000000001。

$$\frac{0.0000000000000000000000000000000000000000000000001}{0.0001^{6}\times 0.001^{10}}$$

计算 6 的 0.0001 乘方，得到 0.000000000000000000000001。

$$\frac{0.0000000000000000000000000000000000000000000000001}{0.000000000000000000000001\times 0.001^{10}}$$

计算 10 的 0.001 乘方，得到 0.000000000000000000000000000001。

$$\frac{0.0000000000000000000000000000000000000000000000001}{0.000000000000000000000001\times 0.000000000000000000000000000001}$$

将 0.000000000000000000000001 与 0.000000000000000000000000000001 相乘，得到 0.000000000000000000000000000000000000000000000000000001。

$$\frac{0.0000000000000000000000000000000000000000000000001}{0.000000000000000000000000000000000000000000000000000001}$$

将分子和分母同时乘以 1000000000000000000000000000000000000000000000000000000 以展开 \frac{0.0000000000000000000000000000000000000000000000001}{0.000000000000000000000000000000000000000000000000000001}。 任何数除以一都等于其本身。

$$100000$$

因式分解

$$2^{5}\times 5^{5}$$