Solve 343*10^3/78.510^-4

$$\frac{ 343 \times { 10 }^{ 3 } }{ 78.5 { 10 }^{ -4 } }$$

Evaluate

$$\frac{6860000000}{157}\approx 43694267.515923567$$

Solution Steps

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

$$\frac{343\times 10^{7}}{78.5}$$

Calculate 10 to the power of 7 and get 10000000.

$$\frac{343\times 10000000}{78.5}$$

Multiply 343 and 10000000 to get 3430000000.

$$\frac{3430000000}{78.5}$$

Expand \frac{3430000000}{78.5} by multiplying both numerator and the denominator by 10.

$$\frac{34300000000}{785}$$

Reduce the fraction \frac{34300000000}{785} to lowest terms by extracting and canceling out 5.

$$\frac{6860000000}{157}$$

Factor

$$\frac{2 ^ {8} \cdot 5 ^ {7} \cdot 7 ^ {3}}{157} = 43694267\frac{81}{157} = 43694267.51592357$$