Solve 5.010^-2/6.5610^-3

$$\frac{ 5.0 { 10 }^{ -2 } }{ 6.56 { 10 }^{ -3 } }$$

Evaluate

$$\frac{625}{82}\approx 7.62195122$$

Solution Steps

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

$$\frac{5\times 10^{1}}{6.56}$$

Calculate 10 to the power of 1 and get 10.

$$\frac{5\times 10}{6.56}$$

Multiply 5 and 10 to get 50.

$$\frac{50}{6.56}$$

Expand \frac{50}{6.56} by multiplying both numerator and the denominator by 100.

$$\frac{5000}{656}$$

Reduce the fraction \frac{5000}{656} to lowest terms by extracting and canceling out 8.

$$\frac{625}{82}$$

Factor

$$\frac{5 ^ {4}}{2 \cdot 41} = 7\frac{51}{82} = 7.621951219512195$$