Solve -[-4^2-32div(-5^2--21)]

$$- [ - 4 ^ { 2 } - 32 \div ( - 5 ^ { 2 } - - 21 ) ]$$

Evaluate

$$8$$

Solution Steps

Calculate 4 to the power of 2 and get 16.

$$-\left(-16-\frac{32}{-5^{2}-\left(-21\right)}\right)$$

Calculate 5 to the power of 2 and get 25.

$$-\left(-16-\frac{32}{-25-\left(-21\right)}\right)$$

The opposite of -21 is 21.

$$-\left(-16-\frac{32}{-25+21}\right)$$

Add -25 and 21 to get -4.

$$-\left(-16-\frac{32}{-4}\right)$$

Divide 32 by -4 to get -8.

$$-\left(-16-\left(-8\right)\right)$$

The opposite of -8 is 8.

$$-\left(-16+8\right)$$

Add -16 and 8 to get -8.

$$-\left(-8\right)$$

The opposite of -8 is 8.

$$8$$

Factor

$$2^{3}$$