Solve 0.15^3*0.1^2/0.3^6*0.1^2

$$\frac { 0.15 ^ { 3 } \times 0.1 ^ { 2 } } { 0.3 ^ { 6 } \times 0.1 ^ { 2 } }$$

Evaluate

$$\frac{125}{27}\approx 4.62962963$$

Solution Steps

Cancel out 0.1^{2} in both numerator and denominator.

$$\frac{0.15^{3}}{0.3^{6}}$$

Calculate 0.15 to the power of 3 and get 0.003375.

$$\frac{0.003375}{0.3^{6}}$$

Calculate 0.3 to the power of 6 and get 0.000729.

$$\frac{0.003375}{0.000729}$$

Expand \frac{0.003375}{0.000729} by multiplying both numerator and the denominator by 1000000.

$$\frac{3375}{729}$$

Reduce the fraction \frac{3375}{729} to lowest terms by extracting and canceling out 27.

$$\frac{125}{27}$$

Factor

$$\frac{5 ^ {3}}{3 ^ {3}} = 4\frac{17}{27} = 4.62962962962963$$