Solve 3^5*5^11/81.5^4*5^7

$$\frac { 3 ^ { 5 } \cdot 5 ^ { 11 } } { 81.5 ^ { 4 } \cdot 5 ^ { 7 } }$$

Evaluate

$$\frac{2430000}{705911761}\approx 0.003442357$$

Solution Steps

Cancel out 5^{7} in both numerator and denominator.

$$\frac{3^{5}\times 5^{4}}{81.5^{4}}$$

Calculate 3 to the power of 5 and get 243.

$$\frac{243\times 5^{4}}{81.5^{4}}$$

Calculate 5 to the power of 4 and get 625.

$$\frac{243\times 625}{81.5^{4}}$$

Multiply 243 and 625 to get 151875.

$$\frac{151875}{81.5^{4}}$$

Calculate 81.5 to the power of 4 and get 44119485.0625.

$$\frac{151875}{44119485.0625}$$

Expand \frac{151875}{44119485.0625} by multiplying both numerator and the denominator by 10000.

$$\frac{1518750000}{441194850625}$$

Reduce the fraction \frac{1518750000}{441194850625} to lowest terms by extracting and canceling out 625.

$$\frac{2430000}{705911761}$$

Factor

$$\frac{2 ^ {4} \cdot 3 ^ {5} \cdot 5 ^ {4}}{163 ^ {4}} = 0.0034423565865479328$$