Solve 12*9/660*9^9/10^2

$$\frac { 12 \times 9 } { 660 } \times \frac { 9 ^ { 9 } } { 10 ^ { 2 } }$$

Evaluate

$$\frac{3486784401}{5500}\approx 633960.800181818$$

Solution Steps

Multiply 12 and 9 to get 108.

$$\frac{108}{660}\times \frac{9^{9}}{10^{2}}$$

Reduce the fraction \frac{108}{660} to lowest terms by extracting and canceling out 12.

$$\frac{9}{55}\times \frac{9^{9}}{10^{2}}$$

Calculate 9 to the power of 9 and get 387420489.

$$\frac{9}{55}\times \frac{387420489}{10^{2}}$$

Calculate 10 to the power of 2 and get 100.

$$\frac{9}{55}\times \frac{387420489}{100}$$

Multiply \frac{9}{55} times \frac{387420489}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 387420489}{55\times 100}$$

Do the multiplications in the fraction \frac{9\times 387420489}{55\times 100}.

$$\frac{3486784401}{5500}$$

Factor

$$\frac{3 ^ {20}}{2 ^ {2} \cdot 5 ^ {3} \cdot 11} = 633960\frac{4401}{5500} = 633960.8001818182$$