다음을 풀어보세요: (0.01^5)0.1^34/(0.0001^6)(0.001^10)

$$\frac{ ( { 0.01 }^{ 5 } ) { 0.1 }^{ 34 } }{ ( { 0.0001 }^{ 6 } )( { 0.001 }^{ 10 } ) }$$

계산

$$10000000000$$

해답 단계

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

$$\frac{0.0000000001\times 0.1^{34}}{0.0001^{6}\times 0.001^{10}}$$

0.1의 34제곱을 계산하여 0.0000000000000000000000000000000001을(를) 구합니다.

$$\frac{0.0000000001\times 0.0000000000000000000000000000000001}{0.0001^{6}\times 0.001^{10}}$$

0.0000000001과(와) 0.0000000000000000000000000000000001을(를) 곱하여 0.00000000000000000000000000000000000000000001(을)를 구합니다.

$$\frac{0.00000000000000000000000000000000000000000001}{0.0001^{6}\times 0.001^{10}}$$

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

$$\frac{0.00000000000000000000000000000000000000000001}{0.000000000000000000000001\times 0.001^{10}}$$

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

$$\frac{0.00000000000000000000000000000000000000000001}{0.000000000000000000000001\times 0.000000000000000000000000000001}$$

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

$$\frac{0.00000000000000000000000000000000000000000001}{0.000000000000000000000000000000000000000000000000000001}$$

분자와 분모 모두에 1000000000000000000000000000000000000000000000000000000을(를) 곱하여 \frac{0.00000000000000000000000000000000000000000001}{0.000000000000000000000000000000000000000000000000000001}을(를) 확장합니다. 모든 항목을 1로 나눈 결과는 해당 항목입니다.

$$10000000000$$

인수 분해

$$2^{10}\times 5^{10}$$