Solve (20):(-1)^{4}-2^2+(-2)^5:(+2)^4-5^6

$$( 20 ) : ( - 1 ) ^ { 4 } - 2 ^ { 2 } + ( - 2 ) ^ { 5 } : ( + 2 ) ^ { 4 } - 5 ^ { 6 }$$

Evaluate

$$-15611$$

Solution Steps

Calculate -1 to the power of 4 and get 1.

$$\frac{20}{1}-2^{2}+\frac{\left(-2\right)^{5}}{2^{4}}-5^{6}$$

Anything divided by one gives itself.

$$20-2^{2}+\frac{\left(-2\right)^{5}}{2^{4}}-5^{6}$$

Calculate 2 to the power of 2 and get 4.

$$20-4+\frac{\left(-2\right)^{5}}{2^{4}}-5^{6}$$

Subtract 4 from 20 to get 16.

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

Calculate -2 to the power of 5 and get -32.

$$16+\frac{-32}{2^{4}}-5^{6}$$

Calculate 2 to the power of 4 and get 16.

$$16+\frac{-32}{16}-5^{6}$$

Divide -32 by 16 to get -2.

$$16-2-5^{6}$$

Subtract 2 from 16 to get 14.

$$14-5^{6}$$

Calculate 5 to the power of 6 and get 15625.

$$14-15625$$

Subtract 15625 from 14 to get -15611.

$$-15611$$

Factor

$$-15611$$