Solve -216left(-3(4)-9right)^-3

$$-216 { \left(-3(4)-9 \right) }^{ -3 }$$

Evaluate

$$\frac{8}{343}\approx 0.023323615$$

Solution Steps

Multiply -3 and 4 to get -12.

$$-216\left(-12-9\right)^{-3}$$

Subtract 9 from -12 to get -21.

$$-216\left(-21\right)^{-3}$$

Calculate -21 to the power of -3 and get -\frac{1}{9261}.

$$-216\left(-\frac{1}{9261}\right)$$

Multiply -216 and -\frac{1}{9261} to get \frac{8}{343}.

$$\frac{8}{343}$$

Factor

$$\frac{2 ^ {3}}{7 ^ {3}} = 0.023323615160349854$$