Solve 30.12^1.50.12^/0.18

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

Evaluate

$$0.36$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 1 to get 2.

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

Calculate 0.12 to the power of 2 and get 0.0144.

$$\frac{3\times 0.0144\times 1.5}{0.18}$$

Multiply 3 and 0.0144 to get 0.0432.

$$\frac{0.0432\times 1.5}{0.18}$$

Multiply 0.0432 and 1.5 to get 0.0648.

$$\frac{0.0648}{0.18}$$

Expand \frac{0.0648}{0.18} by multiplying both numerator and the denominator by 10000.

$$\frac{648}{1800}$$

Reduce the fraction \frac{648}{1800} to lowest terms by extracting and canceling out 72.

$$\frac{9}{25}$$

Factor

$$\frac{3 ^ {2}}{5 ^ {2}} = 0.36$$