Solve -27^frac{2{3}}-1/37^2*-5

$$- 27 ^ { \frac { 2 } { 3 } } - \frac { 1 } { 37 ^ { 2 } } \cdot - 5$$

Evaluate

$$-\frac{12316}{1369}\approx -8.996347699$$

Solution Steps

Calculate 27 to the power of \frac{2}{3} and get 9.

$$-9-\frac{1}{37^{2}}\left(-5\right)$$

Calculate 37 to the power of 2 and get 1369.

$$-9-\frac{1}{1369}\left(-5\right)$$

Multiply \frac{1}{1369} and -5 to get -\frac{5}{1369}.

$$-9-\left(-\frac{5}{1369}\right)$$

The opposite of -\frac{5}{1369} is \frac{5}{1369}.

$$-9+\frac{5}{1369}$$

Add -9 and \frac{5}{1369} to get -\frac{12316}{1369}.

$$-\frac{12316}{1369}$$

Factor

$$-\frac{12316}{1369} = -8\frac{1364}{1369} = -8.996347699050402$$