Solve (5,2*10^2):(1,3*10^-2)

$$( 5,2 \cdot 10 ^ { 2 } ) : ( 1,3 \cdot 10 ^ { - 2 } )$$

Evaluate

$$40000$$

Solution Steps

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

$$\frac{5,2\times 10^{4}}{1,3}$$

Calculate 10 to the power of 4 and get 10000.

$$\frac{5,2\times 10000}{1,3}$$

Multiply 5,2 and 10000 to get 52000.

$$\frac{52000}{1,3}$$

Expand \frac{52000}{1,3} by multiplying both numerator and the denominator by 10.

$$\frac{520000}{13}$$

Divide 520000 by 13 to get 40000.

$$40000$$

Factor

$$2^{6}\times 5^{4}$$