Solve (9*10^9)(3*10^4)(3*10^4)/4.00508

$$( 9 \times 10 ^ { 9 } ) \frac { ( 3 \times 10 ^ { 4 } ) ( 3 \times 10 ^ { 4 } ) } { 4.00508 }$$

Evaluate

$$\frac{202500000000000000000000}{100127}\approx 2.022431512 \cdot 10^{18}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 4 and 4 to get 8.

$$9\times 10^{9}\times \frac{3\times 10^{8}\times 3}{4.00508}$$

Calculate 10 to the power of 9 and get 1000000000.

$$9\times 1000000000\times \frac{3\times 10^{8}\times 3}{4.00508}$$

Multiply 9 and 1000000000 to get 9000000000.

$$9000000000\times \frac{3\times 10^{8}\times 3}{4.00508}$$

Calculate 10 to the power of 8 and get 100000000.

$$9000000000\times \frac{3\times 100000000\times 3}{4.00508}$$

Multiply 3 and 100000000 to get 300000000.

$$9000000000\times \frac{300000000\times 3}{4.00508}$$

Multiply 300000000 and 3 to get 900000000.

$$9000000000\times \frac{900000000}{4.00508}$$

Expand \frac{900000000}{4.00508} by multiplying both numerator and the denominator by 100000.

$$9000000000\times \frac{90000000000000}{400508}$$

Reduce the fraction \frac{90000000000000}{400508} to lowest terms by extracting and canceling out 4.

$$9000000000\times \frac{22500000000000}{100127}$$

Express 9000000000\times \frac{22500000000000}{100127} as a single fraction.

$$\frac{9000000000\times 22500000000000}{100127}$$

Multiply 9000000000 and 22500000000000 to get 202500000000000000000000.

$$\frac{202500000000000000000000}{100127}$$

Factor

$$\frac{2 ^ {20} \cdot 3 ^ {4} \cdot 5 ^ {22}}{223 \cdot 449} = 2.0224315119797858 \times 10^{18}\frac{50417}{100127} = 2.0224315119797858 \times 10^{18}$$