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

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

Evaluate

$$100000$$

Solution Steps

Calculate 0.01 to the power of 5 and get 0.0000000001.

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

Calculate 0.1 to the power of 39 and get 0.000000000000000000000000000000000000001.

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

Multiply 0.0000000001 and 0.000000000000000000000000000000000000001 to get 0.0000000000000000000000000000000000000000000000001.

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

Calculate 0.0001 to the power of 6 and get 0.000000000000000000000001.

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

Calculate 0.001 to the power of 10 and get 0.000000000000000000000000000001.

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

Multiply 0.000000000000000000000001 and 0.000000000000000000000000000001 to get 0.000000000000000000000000000000000000000000000000000001.

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

Expand \frac{0.0000000000000000000000000000000000000000000000001}{0.000000000000000000000000000000000000000000000000000001} by multiplying both numerator and the denominator by 1000000000000000000000000000000000000000000000000000000. Anything divided by one gives itself.

$$100000$$

Factor

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