Solve (9.48*10^21)/(3.846*10^19)=

$$( 9.48 \times 10 ^ { 21 } ) / ( 3.846 \times 10 ^ { 19 } ) =$$

Evaluate

$$\frac{158000}{641}\approx 246.489859594$$

Solution Steps

Cancel out 10^{19} in both numerator and denominator.

$$\frac{9.48\times 10^{2}}{3.846}$$

Calculate 10 to the power of 2 and get 100.

$$\frac{9.48\times 100}{3.846}$$

Multiply 9.48 and 100 to get 948.

$$\frac{948}{3.846}$$

Expand \frac{948}{3.846} by multiplying both numerator and the denominator by 1000.

$$\frac{948000}{3846}$$

Reduce the fraction \frac{948000}{3846} to lowest terms by extracting and canceling out 6.

$$\frac{158000}{641}$$

Factor

$$\frac{79 \cdot 2 ^ {4} \cdot 5 ^ {3}}{641} = 246\frac{314}{641} = 246.48985959438377$$