Solve (8.76*10^-5)*(1.05*10^9)/(6.37*10^3)

$$\frac { ( 8.76 \times 10 ^ { - 5 } ) \times ( 1.05 \times 10 ^ { 9 } ) } { ( 6.37 \times 10 ^ { 3 } ) }$$

Evaluate

$$\frac{1314}{91}\approx 14.43956044$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -5 and 9 to get 4.

$$\frac{8.76\times 10^{4}\times 1.05}{6.37\times 10^{3}}$$

Cancel out 10^{3} in both numerator and denominator.

$$\frac{1.05\times 8.76\times 10}{6.37}$$

Multiply 1.05 and 8.76 to get 9.198.

$$\frac{9.198\times 10}{6.37}$$

Multiply 9.198 and 10 to get 91.98.

$$\frac{91.98}{6.37}$$

Expand \frac{91.98}{6.37} by multiplying both numerator and the denominator by 100.

$$\frac{9198}{637}$$

Reduce the fraction \frac{9198}{637} to lowest terms by extracting and canceling out 7.

$$\frac{1314}{91}$$

Factor

$$\frac{2 \cdot 73 \cdot 3 ^ {2}}{7 \cdot 13} = 14\frac{40}{91} = 14.43956043956044$$