Solve 5.5*10^2/6.25*10^-2

$$\frac { 5.5 \times 10 ^ { 2 } } { 6.25 \times 10 ^ { - 2 } }$$

Evaluate

$$8800$$

Solution Steps

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

$$\frac{5.5\times 10^{4}}{6.25}$$

Calculate 10 to the power of 4 and get 10000.

$$\frac{5.5\times 10000}{6.25}$$

Multiply 5.5 and 10000 to get 55000.

$$\frac{55000}{6.25}$$

Expand \frac{55000}{6.25} by multiplying both numerator and the denominator by 100.

$$\frac{5500000}{625}$$

Divide 5500000 by 625 to get 8800.

$$8800$$

Factor

$$11\times 2^{5}\times 5^{2}$$