Solve 5.9*10^-2/6.4*10^-5

$$\frac{ 5.9 \times { 10 }^{ -2 } }{ 6.4 \times { 10 }^{ -5 } }$$

Evaluate

$$921.875$$

Solution Steps

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

$$\frac{5.9\times 10^{3}}{6.4}$$

Calculate 10 to the power of 3 and get 1000.

$$\frac{5.9\times 1000}{6.4}$$

Multiply 5.9 and 1000 to get 5900.

$$\frac{5900}{6.4}$$

Expand \frac{5900}{6.4} by multiplying both numerator and the denominator by 10.

$$\frac{59000}{64}$$

Reduce the fraction \frac{59000}{64} to lowest terms by extracting and canceling out 8.

$$\frac{7375}{8}$$

Factor

$$\frac{59 \cdot 5 ^ {3}}{2 ^ {3}} = 921\frac{7}{8} = 921.875$$