Solve (0.01^5)0.1^34/(0.0001^6)(0.001^10)

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

Evaluate

$$10000000000$$

Solution Steps

Calculate 0.01 to the power of 5 and get 0.0000000001.

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

Calculate 0.1 to the power of 34 and get 0.0000000000000000000000000000000001.

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

Multiply 0.0000000001 and 0.0000000000000000000000000000000001 to get 0.00000000000000000000000000000000000000000001.

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

Calculate 0.0001 to the power of 6 and get 0.000000000000000000000001.

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

Calculate 0.001 to the power of 10 and get 0.000000000000000000000000000001.

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

Multiply 0.000000000000000000000001 and 0.000000000000000000000000000001 to get 0.000000000000000000000000000000000000000000000000000001.

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

Expand \frac{0.00000000000000000000000000000000000000000001}{0.000000000000000000000000000000000000000000000000000001} by multiplying both numerator and the denominator by 1000000000000000000000000000000000000000000000000000000. Anything divided by one gives itself.

$$10000000000$$

Factor

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