Solve (4*10^9*47*10^6/(3.5)

$$\frac { ( 4 \times 10 ^ { 9 } \cdot 47 \times 10 ^ { 6 } } { ( 3.5 ) }$$

Evaluate

$$\frac{376000000000000000}{7}\approx 5.371428571 \cdot 10^{16}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 9 and 6 to get 15.

$$\frac{4\times 10^{15}\times 47}{3.5}$$

Calculate 10 to the power of 15 and get 1000000000000000.

$$\frac{4\times 1000000000000000\times 47}{3.5}$$

Multiply 4 and 1000000000000000 to get 4000000000000000.

$$\frac{4000000000000000\times 47}{3.5}$$

Multiply 4000000000000000 and 47 to get 188000000000000000.

$$\frac{188000000000000000}{3.5}$$

Expand \frac{188000000000000000}{3.5} by multiplying both numerator and the denominator by 10.

$$\frac{1880000000000000000}{35}$$

Reduce the fraction \frac{1880000000000000000}{35} to lowest terms by extracting and canceling out 5.

$$\frac{376000000000000000}{7}$$

Factor

$$\frac{47 \cdot 2 ^ {18} \cdot 5 ^ {15}}{7} = 53714285714285710\frac{2}{7} = 53714285714285710$$