Solve -4^5/5-(-4^4/4-left(8*-4right)^3/3+16*6

$$\frac{ { -4 }^{ 5 } }{ 5 } - \frac{ (- { 4 }^{ 4 } }{ 4 } - \frac{ { \left(8 \times -4 \right) }^{ 3 } }{ 3 } +16 \times 6$$

Evaluate

$$-\frac{167392}{15}\approx -11159.466666667$$

Solution Steps

Calculate -4 to the power of 5 and get -1024.

$$\frac{-1024}{5}-\left(\frac{-4^{4}}{4}-\frac{\left(8\left(-4\right)\right)^{3}}{3}+16\times 6\right)$$

Fraction \frac{-1024}{5} can be rewritten as -\frac{1024}{5} by extracting the negative sign.

$$-\frac{1024}{5}-\left(\frac{-4^{4}}{4}-\frac{\left(8\left(-4\right)\right)^{3}}{3}+16\times 6\right)$$

Calculate 4 to the power of 4 and get 256.

$$-\frac{1024}{5}-\left(\frac{-256}{4}-\frac{\left(8\left(-4\right)\right)^{3}}{3}+16\times 6\right)$$

Divide -256 by 4 to get -64.

$$-\frac{1024}{5}-\left(-64-\frac{\left(8\left(-4\right)\right)^{3}}{3}+16\times 6\right)$$

Multiply 8 and -4 to get -32.

$$-\frac{1024}{5}-\left(-64-\frac{\left(-32\right)^{3}}{3}+16\times 6\right)$$

Calculate -32 to the power of 3 and get -32768.

$$-\frac{1024}{5}-\left(-64-\frac{-32768}{3}+16\times 6\right)$$

Fraction \frac{-32768}{3} can be rewritten as -\frac{32768}{3} by extracting the negative sign.

$$-\frac{1024}{5}-\left(-64-\left(-\frac{32768}{3}\right)+16\times 6\right)$$

The opposite of -\frac{32768}{3} is \frac{32768}{3}.

$$-\frac{1024}{5}-\left(-64+\frac{32768}{3}+16\times 6\right)$$

Add -64 and \frac{32768}{3} to get \frac{32576}{3}.

$$-\frac{1024}{5}-\left(\frac{32576}{3}+16\times 6\right)$$

Multiply 16 and 6 to get 96.

$$-\frac{1024}{5}-\left(\frac{32576}{3}+96\right)$$

Add \frac{32576}{3} and 96 to get \frac{32864}{3}.

$$-\frac{1024}{5}-\frac{32864}{3}$$

Subtract \frac{32864}{3} from -\frac{1024}{5} to get -\frac{167392}{15}.

$$-\frac{167392}{15}$$

Factor

$$-\frac{167392}{15} = -11159\frac{7}{15} = -11159.466666666667$$