Solve 5.1*10^-41/3.4*10^-28

$$\frac{ 5.1 \times { 10 }^{ -41 } }{ 3.4 \times { 10 }^{ -28 } }$$

Evaluate

$$0.00000000000015$$

Solution Steps

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

$$\frac{5.1}{3.4\times 10^{13}}$$

Calculate 10 to the power of 13 and get 10000000000000.

$$\frac{5.1}{3.4\times 10000000000000}$$

Multiply 3.4 and 10000000000000 to get 34000000000000.

$$\frac{5.1}{34000000000000}$$

Expand \frac{5.1}{34000000000000} by multiplying both numerator and the denominator by 10.

$$\frac{51}{340000000000000}$$

Reduce the fraction \frac{51}{340000000000000} to lowest terms by extracting and canceling out 17.

$$\frac{3}{20000000000000}$$

Factor

$$\frac{3}{2 ^ {14} \cdot 5 ^ {13}} = 1.4999999999999998 \times 10^{-13}$$