Solve 3^2*(2^1)*(2/3)(2/4)/(6)-3

$$\frac { 3 ^ { 2 } \cdot ( 2 ^ { 1 } ) \cdot ( \frac { 2 } { 3 } ) ( \frac { 2 } { 4 } ) } { ( 6 ) } - 3$$

Evaluate

$$-2$$

Solution Steps

Calculate 3 to the power of 2 and get 9.

$$\frac{9\times 2^{1}\times \frac{2}{3}\times \frac{2}{4}}{6}-3$$

Calculate 2 to the power of 1 and get 2.

$$\frac{9\times 2\times \frac{2}{3}\times \frac{2}{4}}{6}-3$$

Multiply 9 and 2 to get 18.

$$\frac{18\times \frac{2}{3}\times \frac{2}{4}}{6}-3$$

Express 18\times \frac{2}{3} as a single fraction.

$$\frac{\frac{18\times 2}{3}\times \frac{2}{4}}{6}-3$$

Multiply 18 and 2 to get 36.

$$\frac{\frac{36}{3}\times \frac{2}{4}}{6}-3$$

Divide 36 by 3 to get 12.

$$\frac{12\times \frac{2}{4}}{6}-3$$

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$\frac{12\times \frac{1}{2}}{6}-3$$

Multiply 12 and \frac{1}{2} to get \frac{12}{2}.

$$\frac{\frac{12}{2}}{6}-3$$

Divide 12 by 2 to get 6.

$$\frac{6}{6}-3$$

Divide 6 by 6 to get 1.

$$1-3$$

Subtract 3 from 1 to get -2.

$$-2$$

Factor

$$-2$$