Solve 74/12*12^2*3=

$$\frac{ 74 }{ 12 \times { 12 }^{ 2 } } \times 3=$$

Evaluate

$$\frac{37}{288}\approx 0.128472222$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

$$\frac{74}{12^{3}}\times 3$$

Calculate 12 to the power of 3 and get 1728.

$$\frac{74}{1728}\times 3$$

Reduce the fraction \frac{74}{1728} to lowest terms by extracting and canceling out 2.

$$\frac{37}{864}\times 3$$

Express \frac{37}{864}\times 3 as a single fraction.

$$\frac{37\times 3}{864}$$

Multiply 37 and 3 to get 111.

$$\frac{111}{864}$$

Reduce the fraction \frac{111}{864} to lowest terms by extracting and canceling out 3.

$$\frac{37}{288}$$

Factor

$$\frac{37}{2 ^ {5} \cdot 3 ^ {2}} = 0.1284722222222222$$