Solve 5*3*1^2*3/8*2*1^3

$$5 \cdot 3 \cdot 1 ^ { 2 } \cdot \frac { 3 } { 8 } \cdot 2 \cdot 1 ^ { 3 }$$

Evaluate

$$\frac{45}{4}=11.25$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 3 to get 5.

$$5\times 3\times 1^{5}\times \frac{3}{8}\times 2$$

Multiply 5 and 3 to get 15.

$$15\times 1^{5}\times \frac{3}{8}\times 2$$

Calculate 1 to the power of 5 and get 1.

$$15\times 1\times \frac{3}{8}\times 2$$

Multiply 15 and 1 to get 15.

$$15\times \frac{3}{8}\times 2$$

Express 15\times \frac{3}{8} as a single fraction.

$$\frac{15\times 3}{8}\times 2$$

Multiply 15 and 3 to get 45.

$$\frac{45}{8}\times 2$$

Express \frac{45}{8}\times 2 as a single fraction.

$$\frac{45\times 2}{8}$$

Multiply 45 and 2 to get 90.

$$\frac{90}{8}$$

Reduce the fraction \frac{90}{8} to lowest terms by extracting and canceling out 2.

$$\frac{45}{4}$$

Factor

$$\frac{3 ^ {2} \cdot 5}{2 ^ {2}} = 11\frac{1}{4} = 11.25$$