Solve 7*(-1)^3*(-3)^2*1/2/6

$$\frac { 7 \cdot ( - 1 ) ^ { 3 } \cdot ( - 3 ) ^ { 2 } \cdot \frac { 1 } { 2 } } { 6 }$$

Evaluate

$$-\frac{21}{4}=-5.25$$

Solution Steps

Calculate -1 to the power of 3 and get -1.

$$\frac{7\left(-1\right)\left(-3\right)^{2}\times \frac{1}{2}}{6}$$

Multiply 7 and -1 to get -7.

$$\frac{-7\left(-3\right)^{2}\times \frac{1}{2}}{6}$$

Calculate -3 to the power of 2 and get 9.

$$\frac{-7\times 9\times \frac{1}{2}}{6}$$

Multiply -7 and 9 to get -63.

$$\frac{-63\times \frac{1}{2}}{6}$$

Multiply -63 and \frac{1}{2} to get \frac{-63}{2}.

$$\frac{\frac{-63}{2}}{6}$$

Fraction \frac{-63}{2} can be rewritten as -\frac{63}{2} by extracting the negative sign.

$$\frac{-\frac{63}{2}}{6}$$

Express \frac{-\frac{63}{2}}{6} as a single fraction.

$$\frac{-63}{2\times 6}$$

Multiply 2 and 6 to get 12.

$$\frac{-63}{12}$$

Reduce the fraction \frac{-63}{12} to lowest terms by extracting and canceling out 3.

$$-\frac{21}{4}$$

Factor

$$-\frac{21}{4} = -5\frac{1}{4} = -5.25$$