Solve 5*10^6*(350/550)^9

$$5 \times 10 ^ { 6 } \times ( \frac { 350 } { 550 } ) ^ { 9 }$$

Evaluate

$$\frac{201768035000000}{2357947691}\approx 85569.343107196$$

Solution Steps

Calculate 10 to the power of 6 and get 1000000.

$$5\times 1000000\times \left(\frac{350}{550}\right)^{9}$$

Multiply 5 and 1000000 to get 5000000.

$$5000000\times \left(\frac{350}{550}\right)^{9}$$

Reduce the fraction \frac{350}{550} to lowest terms by extracting and canceling out 50.

$$5000000\times \left(\frac{7}{11}\right)^{9}$$

Calculate \frac{7}{11} to the power of 9 and get \frac{40353607}{2357947691}.

$$5000000\times \frac{40353607}{2357947691}$$

Multiply 5000000 and \frac{40353607}{2357947691} to get \frac{201768035000000}{2357947691}.

$$\frac{201768035000000}{2357947691}$$

Factor

$$\frac{2 ^ {6} \cdot 5 ^ {7} \cdot 7 ^ {9}}{11 ^ {9}} = 85569\frac{809028821}{2357947691} = 85569.34310719618$$