Solve 3*0.12^2*1.5*0.12^2/0.18

$$\frac{ 3 \times { 0.12 }^{ 2 } \times 1.5 \times { 0.12 }^{ 2 } }{ 0.18 }$$

Evaluate

$$0.005184$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 2 to get 4.

$$\frac{3\times 0.12^{4}\times 1.5}{0.18}$$

Calculate 0.12 to the power of 4 and get 0.00020736.

$$\frac{3\times 0.00020736\times 1.5}{0.18}$$

Multiply 3 and 0.00020736 to get 0.00062208.

$$\frac{0.00062208\times 1.5}{0.18}$$

Multiply 0.00062208 and 1.5 to get 0.00093312.

$$\frac{0.00093312}{0.18}$$

Expand \frac{0.00093312}{0.18} by multiplying both numerator and the denominator by 100000000.

$$\frac{93312}{18000000}$$

Reduce the fraction \frac{93312}{18000000} to lowest terms by extracting and canceling out 1152.

$$\frac{81}{15625}$$

Factor

$$\frac{3 ^ {4}}{5 ^ {6}} = 0.005184$$