Solve -8-32^2/-2^3left(5^2--1^8right)=

$$- \frac{ 8-3 { 2 }^{ 2 } }{ { -2 }^{ 3 } } \left( { 5 }^{ 2 } - { -1 }^{ 8 } \right) =$$

Evaluate

$$-12$$

Solution Steps

Calculate 2 to the power of 2 and get 4.

$$\left(-\frac{8-3\times 4}{\left(-2\right)^{3}}\right)\left(5^{2}-\left(-1\right)^{8}\right)$$

Multiply 3 and 4 to get 12.

$$\left(-\frac{8-12}{\left(-2\right)^{3}}\right)\left(5^{2}-\left(-1\right)^{8}\right)$$

Subtract 12 from 8 to get -4.

$$\left(-\frac{-4}{\left(-2\right)^{3}}\right)\left(5^{2}-\left(-1\right)^{8}\right)$$

Calculate -2 to the power of 3 and get -8.

$$\left(-\frac{-4}{-8}\right)\left(5^{2}-\left(-1\right)^{8}\right)$$

Reduce the fraction \frac{-4}{-8} to lowest terms by extracting and canceling out -4.

$$-\frac{1}{2}\left(5^{2}-\left(-1\right)^{8}\right)$$

Calculate 5 to the power of 2 and get 25.

$$-\frac{1}{2}\left(25-\left(-1\right)^{8}\right)$$

Calculate -1 to the power of 8 and get 1.

$$-\frac{1}{2}\left(25-1\right)$$

Subtract 1 from 25 to get 24.

$$-\frac{1}{2}\times 24$$

Express -\frac{1}{2}\times 24 as a single fraction.

$$\frac{-24}{2}$$

Divide -24 by 2 to get -12.

$$-12$$

Factor

$$-12$$