Solve 0.15^3*0.05/0.01*0.3^6

$$\frac{ { 0.15 }^{ 3 } \times 0.05 }{ 0.01 \times { 0.3 }^{ 6 } }$$

Evaluate

$$\frac{625}{27}\approx 23.148148148$$

Solution Steps

Calculate 0.15 to the power of 3 and get 0.003375.

$$\frac{0.003375\times 0.05}{0.01\times 0.3^{6}}$$

Multiply 0.003375 and 0.05 to get 0.00016875.

$$\frac{0.00016875}{0.01\times 0.3^{6}}$$

Calculate 0.3 to the power of 6 and get 0.000729.

$$\frac{0.00016875}{0.01\times 0.000729}$$

Multiply 0.01 and 0.000729 to get 0.00000729.

$$\frac{0.00016875}{0.00000729}$$

Expand \frac{0.00016875}{0.00000729} by multiplying both numerator and the denominator by 100000000.

$$\frac{16875}{729}$$

Reduce the fraction \frac{16875}{729} to lowest terms by extracting and canceling out 27.

$$\frac{625}{27}$$

Factor

$$\frac{5 ^ {4}}{3 ^ {3}} = 23\frac{4}{27} = 23.14814814814815$$