Solve 1div489.9*10^2*10^2*10^2

$$1 \div 489.9 \times { 10 }^{ 2 } \times { 10 }^{ 2 } \times { 10 }^{ 2 }$$

Evaluate

$$\frac{10000000}{4899}\approx 2041.232904674$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 2 to get 4.

$$\frac{1}{489.9}\times 10^{4}\times 10^{2}$$

To multiply powers of the same base, add their exponents. Add 4 and 2 to get 6.

$$\frac{1}{489.9}\times 10^{6}$$

Expand \frac{1}{489.9} by multiplying both numerator and the denominator by 10.

$$\frac{10}{4899}\times 10^{6}$$

Calculate 10 to the power of 6 and get 1000000.

$$\frac{10}{4899}\times 1000000$$

Express \frac{10}{4899}\times 1000000 as a single fraction.

$$\frac{10\times 1000000}{4899}$$

Multiply 10 and 1000000 to get 10000000.

$$\frac{10000000}{4899}$$

Factor

$$\frac{2 ^ {7} \cdot 5 ^ {7}}{3 \cdot 23 \cdot 71} = 2041\frac{1141}{4899} = 2041.2329046744233$$