Solve 4*(-7)^3*(-3)^2*1/2/3

$$\frac { 4 \cdot ( - 7 ) ^ { 3 } \cdot ( - 3 ) ^ { 2 } \cdot \frac { 1 } { 2 } } { 3 }$$

Evaluate

$$-2058$$

Solution Steps

Calculate -7 to the power of 3 and get -343.

$$\frac{4\left(-343\right)\left(-3\right)^{2}\times \frac{1}{2}}{3}$$

Multiply 4 and -343 to get -1372.

$$\frac{-1372\left(-3\right)^{2}\times \frac{1}{2}}{3}$$

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

$$\frac{-1372\times 9\times \frac{1}{2}}{3}$$

Multiply -1372 and 9 to get -12348.

$$\frac{-12348\times \frac{1}{2}}{3}$$

Multiply -12348 and \frac{1}{2} to get \frac{-12348}{2}.

$$\frac{\frac{-12348}{2}}{3}$$

Divide -12348 by 2 to get -6174.

$$\frac{-6174}{3}$$

Divide -6174 by 3 to get -2058.

$$-2058$$

Factor

$$-2058$$