Solve (-9)-7*[(-4)-9]^-3+(-7)

$$( - 9 ) - 7 \cdot [ ( - 4 ) - 9 ] ^ { - 3 } + ( - 7 )$$

Evaluate

$$-\frac{35145}{2197}\approx -15.996813837$$

Solution Steps

Subtract 9 from -4 to get -13.

$$-9-7\left(-13\right)^{-3}-7$$

Calculate -13 to the power of -3 and get -\frac{1}{2197}.

$$-9-7\left(-\frac{1}{2197}\right)-7$$

Multiply 7 and -\frac{1}{2197} to get -\frac{7}{2197}.

$$-9-\left(-\frac{7}{2197}\right)-7$$

The opposite of -\frac{7}{2197} is \frac{7}{2197}.

$$-9+\frac{7}{2197}-7$$

Add -9 and \frac{7}{2197} to get -\frac{19766}{2197}.

$$-\frac{19766}{2197}-7$$

Subtract 7 from -\frac{19766}{2197} to get -\frac{35145}{2197}.

$$-\frac{35145}{2197}$$

Factor

$$-\frac{35145}{2197} = -15\frac{2190}{2197} = -15.996813837050523$$