Solve ==(56*10^3)(100*10^3)/69.66*10^3

$$= \frac { = ( 56 \times 10 ^ { 3 } ) ( 100 \times 10 ^ { 3 } ) } { 69.66 \times 10 ^ { 3 } }$$

Evaluate

$$\frac{280000000}{3483}\approx 80390.467987367$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 3 and 3 to get 6.

$$\frac{56\times 10^{6}\times 100}{69.66\times 10^{3}}$$

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

$$\frac{56\times 100\times 10^{3}}{69.66}$$

Multiply 56 and 100 to get 5600.

$$\frac{5600\times 10^{3}}{69.66}$$

Calculate 10 to the power of 3 and get 1000.

$$\frac{5600\times 1000}{69.66}$$

Multiply 5600 and 1000 to get 5600000.

$$\frac{5600000}{69.66}$$

Expand \frac{5600000}{69.66} by multiplying both numerator and the denominator by 100.

$$\frac{560000000}{6966}$$

Reduce the fraction \frac{560000000}{6966} to lowest terms by extracting and canceling out 2.

$$\frac{280000000}{3483}$$

Factor

$$\frac{7 \cdot 2 ^ {9} \cdot 5 ^ {7}}{43 \cdot 3 ^ {4}} = 80390\frac{1630}{3483} = 80390.46798736721$$