다음을 풀어보세요: (0.01)^5(0.1)^39/(0.0001)^6(0.001)^10

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

계산

$$100000$$

해답 단계

0.01의 5제곱을 계산하여 0.0000000001을(를) 구합니다.

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

0.1의 39제곱을 계산하여 0.000000000000000000000000000000000000001을(를) 구합니다.

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

0.0000000001과(와) 0.000000000000000000000000000000000000001을(를) 곱하여 0.0000000000000000000000000000000000000000000000001(을)를 구합니다.

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

0.0001의 6제곱을 계산하여 0.000000000000000000000001을(를) 구합니다.

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

0.001의 10제곱을 계산하여 0.000000000000000000000000000001을(를) 구합니다.

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

0.000000000000000000000001과(와) 0.000000000000000000000000000001을(를) 곱하여 0.000000000000000000000000000000000000000000000000000001(을)를 구합니다.

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

분자와 분모 모두에 1000000000000000000000000000000000000000000000000000000을(를) 곱하여 \frac{0.0000000000000000000000000000000000000000000000001}{0.000000000000000000000000000000000000000000000000000001}을(를) 확장합니다. 모든 항목을 1로 나눈 결과는 해당 항목입니다.

$$100000$$

인수 분해

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