Solve left(-5-1right)^3div36-(left(-3-1right)^2div-2^3--1^3-(-4+5))

$${ \left(-5-1 \right) }^{ 3 } \div 36-( { \left(-3-1 \right) }^{ 2 } \div - { 2 }^{ 3 } - { -1 }^{ 3 } -(-4+5))$$

Evaluate

$$-4$$

Solution Steps

Subtract 1 from -5 to get -6.

$$\frac{\left(-6\right)^{3}}{36}-\left(\frac{\left(-3-1\right)^{2}}{-2^{3}}-\left(-1\right)^{3}-\left(-4+5\right)\right)$$

Calculate -6 to the power of 3 and get -216.

$$\frac{-216}{36}-\left(\frac{\left(-3-1\right)^{2}}{-2^{3}}-\left(-1\right)^{3}-\left(-4+5\right)\right)$$

Divide -216 by 36 to get -6.

$$-6-\left(\frac{\left(-3-1\right)^{2}}{-2^{3}}-\left(-1\right)^{3}-\left(-4+5\right)\right)$$

Subtract 1 from -3 to get -4.

$$-6-\left(\frac{\left(-4\right)^{2}}{-2^{3}}-\left(-1\right)^{3}-\left(-4+5\right)\right)$$

Calculate -4 to the power of 2 and get 16.

$$-6-\left(\frac{16}{-2^{3}}-\left(-1\right)^{3}-\left(-4+5\right)\right)$$

Calculate 2 to the power of 3 and get 8.

$$-6-\left(\frac{16}{-8}-\left(-1\right)^{3}-\left(-4+5\right)\right)$$

Divide 16 by -8 to get -2.

$$-6-\left(-2-\left(-1\right)^{3}-\left(-4+5\right)\right)$$

Calculate -1 to the power of 3 and get -1.

$$-6-\left(-2-\left(-1\right)-\left(-4+5\right)\right)$$

The opposite of -1 is 1.

$$-6-\left(-2+1-\left(-4+5\right)\right)$$

Add -2 and 1 to get -1.

$$-6-\left(-1-\left(-4+5\right)\right)$$

Add -4 and 5 to get 1.

$$-6-\left(-1-1\right)$$

Subtract 1 from -1 to get -2.

$$-6-\left(-2\right)$$

The opposite of -2 is 2.

$$-6+2$$

Add -6 and 2 to get -4.

$$-4$$

Factor

$$-4$$