Solve (16100)^2(39*10^10)/667*10^-11

$$\frac { ( 16100 ) ^ { 2 } ( 39 \times 10 ^ { 10 } ) } { 667 \times 10 ^ { - 11 } }$$

Evaluate

$$\frac{439530000000000000000000000000}{29}\approx 1.51562069 \cdot 10^{28}$$

Solution Steps

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

$$\frac{39\times 10^{21}\times 16100^{2}}{667}$$

Calculate 10 to the power of 21 and get 1000000000000000000000.

$$\frac{39\times 1000000000000000000000\times 16100^{2}}{667}$$

Multiply 39 and 1000000000000000000000 to get 39000000000000000000000.

$$\frac{39000000000000000000000\times 16100^{2}}{667}$$

Calculate 16100 to the power of 2 and get 259210000.

$$\frac{39000000000000000000000\times 259210000}{667}$$

Multiply 39000000000000000000000 and 259210000 to get 10109190000000000000000000000000.

$$\frac{10109190000000000000000000000000}{667}$$

Reduce the fraction \frac{10109190000000000000000000000000}{667} to lowest terms by extracting and canceling out 23.

$$\frac{439530000000000000000000000000}{29}$$

Factor

$$\frac{2 ^ {25} \cdot 3 \cdot 5 ^ {25} \cdot 7 ^ {2} \cdot 13 \cdot 23}{29} = 1.515620689655173 \times 10^{28}\frac{4}{29} = 1.515620689655173 \times 10^{28}$$